3x – 1, if x < 8 if x > 8 | Let f(x) = { 5 x+9 Show that f(x) has a jump discontinuity at x = 8 by calculating the limits from the %3D left and right at x = = 8. lim f(x) =| 23 x8- lim f(x) = x→8+

Q: Determine whether the function x2 + 2 x > 2 f(x) = x = 2 is continuous at the 4х — 2 x < 2 given…

A: First of all we will find the left hand limit at X equal to 2 and then find the right hand limit X…

Q: 1. Consider the function fx3x+2, -x-6, x>0x<0. Use table of values to find the limit of the…

A: The given function,  f(x)=x+2,x&gt;0-x-6,x&lt;0

Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the…

A:

Q: - 6x - 15 if x -3 Calculate the following limits. Enter "DNE" if the lim f(x) = I -3

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Q: -1- x +3, if x -2 Calculate the following limits. Enter DNE if the limit does not exist. lim f(x) =…

A: Given : fx =-1-x + 3   if x&lt;-23                        if x=-22x+8                if x&gt;-2

Q: Let f(x) be given by x²+1 if x 2 Find lim f (x) x-2 (А) 5 B 0 -5 D the limit does not exist

A: As it is the concept of limits. First we will check whether the limit exists or not. We will check…

Q: Use a graph to investigate lim f(x) at the number c. (If an answer does not exist, enter DNE.) S3x…

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Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the…

A:

Q: - 3 – x + 2 if x - 4 Calculate the following limits. Enter "DNE" if the limit does not exist. lim…

A: Topic = Limits

Q: Find the limit, if it exists. (x² – 16 if x>0 Let f(x) =x2 -16 if x<0 x- 4 Find lim f(x). x-0- 00 -4…

A:

Q: For the function f(x) (X^2-3 if -3 ≤x2 C) is f continuous at x=2? D) does lim f(x) exist at x->4^-?…

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Q: - x² if x 3 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = x…

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Q: 2x+1 if x < 2 Let f(x) = x²-1 if x ≥2 Determine the one-sided limit lim f(x). x 2+

A:

Q: find the limit of g(x) as x approaches the indicated value.

A: the given expression is: limx→51x+g(x)=2

Q: s*(2t-2)² dt (a) Find the limit (if exist): lim x 2х-1

A: Result 1 : If limx→af(x)g(x) = 00 , then by L hospital's rule limx→af(x)g(x)= limx→af'(x)g'(x)…

Q: Consider the following. x² – 2 if x * 0 if x = 0 f(x) = y -2 -1 Use the graph to find the limit…

A:

Q: 2x+1 if x 2 Determine the one-sided limit lim f(x). x-2- 2

A: The given function is:

Q: 5. Evaluate the limit: Vx +1 lim x→1 4x -4

A: Limit at a point exists if left-handed and right-handed limits exist and they are equal. Left-handed…

Q: 3. Find the indicated limits. if x 2 f(x) -2+ 4x – x² a) lim f(x) x→2+ b) lim f(x) x→2- c) lim f…

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Q: (-5-x)²+2 if x #-6 Let f(x) = 2x + 14 if x = -6 Calculate the following limits. Enter "DNE" if the…

A: Given  f(x) = -5-x2+2if  x≠-62x+14if  x=-6

Q: Find limit of lim メ-T(x*1) X-1 X-1 O a, 0 Ob. 1 00 d. None of these

A: Given the function limx→1xx−1   (x≠1)∵x≠1

Q: 9. There is an infinite discontinuity at x = 0 and f(0) = -2 10. There is a jump discontinuity at x…

A: Explanation of the answer is as follows

Q: 5x2 + 10x + 1 20. lim x* + x² + 1

A:

Q: [In (x+1) Evaluate the limit of the function f(x) =er as x approaches 0 using Table of Values…

A: Consider the function  f(x)=ln(x+1)x To find the limit of the function as x approaches 0 using table…

Q: V-5 – x + 5 if x 6 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim…

A:

Q: V-1- x + 5 if x - 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim…

A: NOTE: Refresh your page if you can't see any equations. . find the left-hand side limit of the…

Q: 6 - x - x2 if x 4 Use a graph to determine the following limits. Enter DNE if the limit does not…

A:

Q: 4. The graph of a function f(x) is shown at right. If g(x) = V1+ 3x , find lim [f(x) + 3 g(x)]. %3D…

A: The graph of the function fx is given. From that graph it is clear that, the function fx, at x=1…

Q: Consider the following. x² - 2 if x # -1 if x = -1 f(x) = %3D y -2 -1 1 2 Use the graph to find the…

A: The given function is f(x)=x2-2    if x≠-1-3        if x=-1. Graphically: From the graph, it can be…

Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the U…

A:

Q: 1. Find the limit. 1-x2 (a) lim VIA +1

A: we have limx→∞1-x2x4+1this is ∞∞(indeterminate form)

Q: 9. There is an infinite discontinuity at x = 0 and f(0) = -2 10. There is a jump discontinuity at x…

A: Let's find.

Q: Q2/Give a value for each of the following limits: x2 - 4x – 21 1) lim 7 3x2 - 17x – 28 (7+2x)-V5-vZ)…

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Q: 4. Given that f(x)=4x - 3 f (1+h)- ƒ(1) Find lim ,x21

A: Given query is to find the value of indicated operation.

Q: #2: Consider the function f (x) = X*9 and the limit lim f(x). X→1 (a) Find the maximum value of ô…

A: The given function f(x)=x+95and the limit limx→1f(x)

Q: Please show step-by-step solutions

A:

Q: Let ƒ(x) = (3x - 1)/x. Make tables of values of ƒ at values of x that approach c = 0 from above and…

A:

Q: 6x – 6 if a 4 Show that f(x) has a jump discontinuity at a = 4 by calculating the limits from the…

A: Let fx=6x-6if x&lt;41x+4if x≥4 To show that f(x) has a jump discontinuity at x = 4.

Q: Q1:- Find the limit for each of the following functions if is exist ? 1) lim|x – 3| x-3 sx + 2 ,…

A: We find limit of given function

Q: (1) Find the following limit: x2 – 5x+6 - (a) lim x-2 x2 +x-6 ex +e-x - 2 (b) lim x2 In(x) (c) lim X…

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Q: If lim as t approaches 4 of the function ((g(x)-6)/(t-1))=1. Find lim t approaches 4 of g(t).

A: The given function is ((g(x) - 6) / (t - 1))  As limit t approaches to 4 the value of the function…

Q: 7 x? 4x + 10 if -1 2 if a < -1 | If f (x) = I-1 | - exists. Enter DNE if the limit does not exist.

A: Here we have to find      limx--&gt;-1 f(x) .

Q: Find the maximum value of 8 > 0 that satisfies the limit claim corresponding to ɛ = 0.1, that is,…

A:

Q: Find the limit of f(x)

A: Given information

Q: - f(x) = -1; lim lim 16. Suppose x-3+ f(x) = -1; and f(-3) is not defined. x-3- Which, if any, of…

A: Given that limx→-3-f(x) =-1 and limx→-3+f(x) =-1. Which implies that limx→-3f(x) =-1. So, Statement…

Q: 4x 7 lim 1+ Compute the limit: x→0

A: here we put value of limit then we calculate

Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the…

A:

Q: 9. There is an infinite discontinuity at x = 0 and f(0) = -2 10. There is a jump discontinuity at x…

A: 9. There is an infinite discontinuity at x=0 and f(0)=-210. There is a jump discontinuity at x=1 and…

Q: 4х + 1 Let f(x) = X-2 (a) Use the precise definition of the limit (i.e. e, 8) to prove that lim f(x)…

A: To solve this question we need to apply the conditions of limit and continuity

Q: 1.16 Let f(x) = lim_f(x) = H-4 2, 4x + 19, Calculate the following limits. Enter DNE if the limit…

A: