Concept explainers
Finding Limits Use a graphing utility to estimate each limit. Then calculate each limit using L’Hôpital’s Rule. What can you conclude about the form
(a)
(b)
(c)
Want to see the full answer?
Check out a sample textbook solutionChapter 5 Solutions
Calculus (MindTap Course List)
- Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) 2 4 lim f(x) x- 2 (a) lim f(x) x- 2* (b) (c) lim_ f(x) X- 2 (d) f(2) lim f(x) X- 4 (e) (f) f(4)arrow_forwardUse the given graph of f to state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) y 10 2 -2 4 6 8 10 (a) lim f(x) x-5 lim f(x) (b) X-5* (c) lim_f(x) x-5 (d) im f(x) x-9 (e) f(9)arrow_forwardsin 5h , it is a good idea to rewrite the limit If you want to evaluate lim h0 3h in terms of the variable (choose one): 5h (c) 0 = 3 (a) 0 = 5h (b) 0 = 3h %3Darrow_forward
- Find the value of lim f(x) 1 1+5/* A -0.6 -0.5 0.16 El -0.6arrow_forwardUse the graph of the function f to decide whether the value of the given quantity exists. 3 -4 -2 (a) f(-2) (b) lim f(x) x--2 (c) f(0) L LLLALarrow_forwardThe graph of the function f(x) = x² satisfies lim f(x) = 4. x-2 -1 110 1,0 Note: You can click on the graph to enlarge the image. Determine a value > 0 that satisfy each statement. (a) if 0 < help (numbers)arrow_forward
- Assuming that lim f(x) = 6 and lim g(x) = 4, calculate each limit. %3D 1+3 (a) lim(f(r) – 29(r)) (b) lim r²f(r) f(x) (c) lim 1+3 g(x) + x (d) lim(2g(x)® – g(x)3/2)arrow_forwardFor the function f whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) (a) lim f(x) (b) (c) lim f(x) x-3- ут lim f(x) x-3+ (d) lim f(x) x-3 (e) f(3) 4 2. 0 2 4 xarrow_forward7. Find the limit, if it exists. If the limit does not exist, explain why. (a) lim sin (2x 6) sin(4x - 12) x² - 6x +9 x-3 (b) If lim x 5 x 5 = 3, evaluate lim f(x). I-5arrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,