Concept explainers
Finding Limits In Exercises 37-58, find the limit (if it exists). See Examples 5, 6, 7, 9, and 11.
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Calculus: An Applied Approach (MindTap Course List)
- Determine the infinite limit (show the details). X-2 (a) lim x-4-X-4 X-3 (b) lim →2 (x- 2)2 (Hint: You don't need to evaluate the limits, you just need to determine whether the limits are -00 or 0)arrow_forwardUse the graph to find the limit. See Examples 1 and 2. y (0, -5) y = h(x) ) (-2, -7) (a) lim h(x) X-2 (b) lim h(x)arrow_forwardlim x - 5x + 6 Example 22. Evaluate X →3 x - 9arrow_forward
- find the limit or explain why it does not exist. 1 1 2 + x lim 2arrow_forwardPART I L.A. Discuss the limit of the function as r approaches c and the value of the function as I= c. I.B. Sketch the graph of a function f satisfying ALL the given conditions. 5- The domain of f is (-00, 00) • f(4) = -2 a intercepts are -6,-4,-2,0 and 2 lim f(z) = 0 4 3- 2- lim f(r) = +0 lim f(r) = -00 lim f(r) = 0 -1- lim f(r) = 3 -2- lim f(2) = -5 • f is continuous at all except -4 ,0,2 and 4 -5 -6 2.arrow_forwardGive a limit expression that describes the left end behavior of the function. 40x² + 4x² 2 17x⁰ 3x f(x)= = lim f(x) = X-8 (Simplify your answer.)arrow_forward
- Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) y 아 4 -2 2 4 6 8 10 -2 (a) lim f(x) x-5 (b) lim f(x) x-5* (c) X-5 lim fx) (d) lim f(x) x-9 (e) f(9) 2.arrow_forwardOne-sided limits a. Evaluate lim Vx - 2. xS2+ b. Explain why lim Vx - 2 does not exist. xS2-arrow_forwardUse the graph to find the limit. See Examples 1 and 2. y (1, -3) A (a) lim f(x) x-1 (b) lim f(x) X-4 y = f(x) (4,0) Xarrow_forward
- In Exercises 1-6, complete the table and use the result to estimate the limit. Use a graphing utility to graph the function to confirm your result. x – 4 1. lim →4 x2 3x - 4 3.9 3.99 3.999 4.001 4.01 4.1 fAx)arrow_forwardFind the limit. lim x2 X--3 Need Help? Read Itarrow_forwardx+15 - 2 is The value of the limit lim x+-11 X +11arrow_forward
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