Answered: Explain whywe can't calculate…

Explain whywe can't calculate everylimit lim f (x), when x approaches c just by evaluating f(x) at = c.Support your argument with the graph of functionf for which lim f(x) not equal to f(c).

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.1: Functions And Function Notation

Problem 3SE: Why does the vertical line test tell as whether the graph of a relation represents a function?

See similar textbooks

Related questions

Q: Find the general solution of the given differential equations by the concept of Exact DE and…

Q: Determine whether the given points are on the graph of the equation. x² + y² = 9; (0, 3), ( · (√₂·…

A: To determine the points are in the graph of the equation we just put the points on the left hand…

Q: 6. f is a function that is differentiable for all reals. The value of f '(x) is given for several…

Q: 4. Let R be the region bounded by the following curves. Use the disk method (slicing method) to find…

Q: Find a plane containing the point (1, 3, 3) and the line of intersection of the planes - 2x - 3y -…

Q: 1. (Difference Quotient) Simplify the difference quotient (x+h)-f(x) for each of the following…

Q: Find the sum of the following geometric series: 3 Σ an=64n

Q: 18. lim h→0 2 √4+h h - 1

A: Note: Since, the student has mentioned to solve only question no. 18, so we are solving accordingly…

Q: 2. tan o C √उ, oe all

Q: lim x → 0 cosx−1 -1 X

A: The given limit is: limx→0cosx-1x As we know that; cos-θ=cosθ

Q: If g(x) = x2 + 10x with x ≥ −5, find g−1(56).

Q: Use the product rule to help you find dy/dx for each of the following functions: 13. y = (x²)(2x -…

Q: Use Green's Theorem to evaluate 90 O O -384 O -48 fayd r²y² dr + (yr³+ y²) dy where C' is shown…

A: As we know from Green's theorem: ∫cMdx+Ndy=∫∫R∂N∂x-∂M∂ydA Where, ∬dA=∬dxdy or ∬dydx And We know the…

Q: Complete the table. (Round your answers to five decimal places. Assume x is in terms of radian.) 5…

Q: b) x d2y dy 12²-4 dx+6² = 2/1/2 dx²

Q: Q4) Find the result of the following: 1. (330i19)/(2-1) =? 2. 3. 4. Beta function, ß (5/2, 1) =?…

Q: 3.) Using the Graphing method, find the limit. When necessary, state that the limit does not exist.…

A: Solution is given below:

Q: If the recommended adult dosage for a drug is D (in mg), then to determine the appropriate dosage c…

Q: 12×46

Q: Find the x- and y-intercepts of the graph of the equation. y = x + 9 x-intercept y-intercept (x, y)…

Q: 1337 (2) =?

Q: Use the given graph to determine the open intervals on which the function is either increasing,…

A: Graph of the function is given, we have to find the intervals for which the graph is increasing,…

Q: 35. [T] lim sin2x; ±0.1, +0.01, +0.001, +.0001 *40 X X -0.1 -0.01 -0.001 -0.0001 sin 2x a. b. d. X…

A: The answer is given below:

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

Q: Find the volume of the solid obtained by rotating the region bounded by y = x and y = √x about the…

A: Given problem:-- Find the volume of the solid obtained by rotating the region bounded by y = x and…

Q: Consider the series 6+4 6n³-6n+8 n= We will try to use the ratio test to determine whether this…

A: To use ratio test to determine whether the given series converges or diverges

Q: If your weekly cost, C, (in dollars) to manufacture L laptops and D desktops is: C(L, D)= 5000+50L…

Q: Use the final value theorem, the final value of f(t) = 6. (et +2) - 10 is .....

A: final value theorem

Q: 4. Half-life of a substance is the amount of time it takes to reduce to half of its original amount.…

A: We have to find the time and remaining amount of carbon-14.

Q: 6. 7. ay=7x+1 1 y || 1 x

Q: y' xe2y subject to initial condition of y(0) = -1 =

A: Please see the below picture for detailed solution.

Q: What is the area of the triangle? (-6,1) (-3,-5) (-1.1) square units

Q: C. Find the standard form of the equation of a circle given the following conditions. 12. Center at…

A: Find the equation of the circle whose centre is at (2,m), radius is twice the y co ordinate of the…

Q: limx→0 sin 2x 2x²+x

Q: EXAMPLE 2 Finding Volume Find the volume of the prism whose base is the triangle in the xy-plane…

Q: Find f+g, f-g, fg, and f/g and their domains. f(x) = √36x², g(x) = √x + 1 Find (f + g)(x). Find the…

Q: 8. (Optimisation.) The function f(x) = 2x³ - 3x² - 12x+80 has domain 0 ≤ x ≤ 4. Your goal is to find…

Q: Find the x- and y-intercepts of the graph of the equation. (If an answer does not exist, enter DNE.)…

A: We have given an equation. We have to find the x and y intercept. We have y - 9xy + 9x = 1 To find…

Q: Graph on a cordinate plane by hand or a graphing device 2x-3y=18 3 -X -x + ²y = 8 zy If there is one…

A: The given equations, 2x-3y=18-x+32y=8

Q: Refer to the figure and find the volume generated by rotating the given region about the specified…

A: We have to find volume generated by revolving R1 about line AB.

Q: K False 3. True or False? An independent variable represents the range value or output of a…

A: To write down that the given statement is true or false.

Q: 4. Find the total area bounded by given curve and the x-axis. 4a) y = 3x² + 1, 0≤x≤1 4c) y =

A: 4a) Given curve, y=3x2+1, 0≤x≤1

Q: The graph is a transformation of one of the basic functions. Find the equation that defines the…

A: We need to find equation.

Q: Find the following limit. 2 lim h→0 √2h+1 +1

A: Limit

Q: Solution is wrong

Q: 11) Evaluate the following integral. The letter H represents a constant. H (3x-4)²3 dx 0

A: NOTE: Refresh your page if you can't see any equations. . use the integration rule

Q: Slopes of Secant and Tangent Lines - Homework 1. For the function f(x) = 5x + 3, find the following.…

Q: Compute the surface integral over the given oriented surface: F = y²i + 6j − xk, normal F. ds =…

Q: 2. CALCULATE THE VOLUME OF A RIGHT CIRCULAR CONICAL CONTAINER (IN LITERS) WHOSE HEIGHT IS 4 YARDS…

Q: Which of the following equations is NOT a variable separable differential equation? A B (x² − yx²)…

Question

Explain whywe can't calculate everylimit lim f (x), when x approaches c just by evaluating f(x) at = c.Support your argument with the graph of functionf for which lim f(x) not equal to f(c).

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Why does the vertical line test tell as whether the graph of a relation represents a function?
What does it mean to say that f(4) is a local maximum valueof f ?
How can you determine if a relation is a one-to-one function?
Create a function in which the domain is x2 .
Show that lim(5x+2)=-18 x-> -4
Give an example of a function that is not defined at 2 for which lim f(x) = 5.
find lim ( Sx?, ax -Jxbx)
For the function f whose graph is given below, state the value of each quantity, if it exists. y 5t 3 2 2 (a) lim f(x) = X- 2 lim f(x) = x+2+ (b) %3D (c) lim f(x) : x-2 (d) lim f(x) = x-1 (e) f(1) = %3D 후
If 4x - 9 ≤f(x) ≤ x2 -4x +7 for x ≥ 0 , find lim x->4 f(x) .
If 3x - 2 0, find lim f(x) X→3
Suppose the function f(r) is an odd function and lim, f(r) = 27. Use this information to evaluate lim,, . f(z). Answer.
The graph below is the function f (x) -5 -4 -3 -2 -1 +-+ -3 -4 -S lim f(x) = x-3- lim f(x) = x-3 f(3) = lim f(x) = x 3+ 5 4 3 2 + Determine the following values. Enter "DNE" if a value does not exist, enter "oo" (lower case "o") if the limit approaches positive infinity, or "-oo" if the limit approaches negative infinity. Ā 2. Determine if the function is continuous or discontinuous at the limit value. If it is discontinuous, indicate if the discontinuity is removable or non-removable. O The function is continuous at x = 3 O The function has a removable discontinuity at x = 3 O The function has a non-removable discontinuity at x = 3 If the function has a discontinuity at the limit value, check all the boxes that indicate why the function is discontinuous there.