Concept explainers
Finding Limits Graphically In Exercises 1-4, use the graph to find the limit. See Examples 1 and 2.
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Chapter 1 Solutions
Calculus: An Applied Approach (MindTap Course List)
- The graph below is the function f(x) -5 -4 -3 -2 4 -2 -3 -5+ Find lim f(x) x →2- Find lim f(x) x →2+ lim f(x) = x →2 lim f(x) does not exist. x →2 Find f(2)arrow_forwardAssessment 1. Directions: Find the limit of the following. 1. lim(x² + 2x – 1) X-2 2. lim (x³ + 8) x--2arrow_forward2 一X 4. 2. 4. 2. 3.arrow_forward
- Use a graphing utility to graph the function and visually estimate the limits. h(x) = -x² + 2x (a) lim h(x) = (b) lim h(x) = X-1arrow_forward10- 8+ 1t +++ -10-9-8-7-6-5-4 –3 –2 –1 12 3. -1 -2+ -3+ -4+ -5+ -6+ -7+ -8+ -9+ 10+arrow_forwardxa g(x) find the limits that exist. If the limit does not exist, explain 2. Use the graphs of f and g in the accompanying figure to find the limits that exist. If the limit does not exist, explain why. (a) lim [f(x)+ g(x)] (b) lim [f(x) + g(x)] (c) lim [f(x)+ g(x)] (d) lim [f(x) + g(x)] f(x) 1+ g(x) (e) lim x21+g(x) (f) lim x2 f(x) (g) lim Vf(x) (h) lim Vf(x) y = f(x) AY y g(x) %3D A Figure Ex-2arrow_forward
- zle: BCT5-8 Jse the graph to determine the following limits. (a) lim f(x) (b) lim f(x) Xー (c) lim f(x) Xー→3 (d) lim f(x) ズー→4 Use the graph to determine the following limits. y=f(x) 2- (a) lim f(x) (b) lim f(x) x→2 (c) lim f(x) (d) lim f(x) x-3 xー→4 -1+arrow_forwardThe graph below is the function f(x) 4- 3- -4 -3 -4- -5+ Find lim f(x) = x -1 Find lim f(x) = 2 -1+ Find lim f(z) = Find f(- 1) = Question Help: DVideo Message instructorarrow_forwardSketch the graph of a function f such that: limf(x)=3 X-2 f(2)=4 limf(x)=0 X-7 151 MacBook Proarrow_forward
- 9x-2x-568 The limit lim X- 4arrow_forwardUse the accompanying graph of y = f(x). Does lim f(x) exist? If it does, what is it? X4 (6, 2) 22, 1) (10, 2) Select the correct choice below and fill in any answer boxes in your choice. OA. lim f(x) = 2 4 10 12 x-4 (-4, -2) 4- B. lim f(x) does not exist. X-4 (2, -4)arrow_forwardThe graph below is the function f(z) 4- 3- 2- 3 4 5 -4- Find lim f(æ) = Find lim f(x) = Find lim f(x) Find f(- 1)arrow_forward
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