Concept explainers
Analyzing infinite limits graphically Use the graph of
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Calculus: Early Transcendentals (3rd Edition)
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Calculus and Its Applications (11th Edition)
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- Give an example by sketching the graph of a function f that satisfies all the given conditions. lim (x--> -3) f(x)=+oo, lim (x--> -oo) f(x)=-2, f(0) = 0, f is even.arrow_forwardCalculus I Evaluate lim x→1 f(x) where the graph of f(x) is.arrow_forwardf(x) 4) Let lim f(x) = 7, and lim g(x) = 6. Find lim 3 X-5 X-5 x-5 g(x)arrow_forward
- 2x-1 if x2 b) Compute lim f(x) x2*arrow_forwardTutorial Exercise Use the given graph of the function y = f(x) to find the following quantities, if they exist. y 3 1 -6 -5 -4 -3 -2 -1 1 (a) lim f(x) X-4 (b) lim f(x) X-1- (c) x--1+ lim f(x) (d) lim f(x) x--1 (e) f(-1) Step 1 of 3 (a) lim f(x) X→-4 Recall lim f(x) exists if and only if lim f(x) = lim f(x). a+ Xa Xa Also recall lim f(x) = L if the values of f(x) can be made arbitrarily close to L by taking x sufficiently close to a for Xa x a. Using the graph, find the values (if they exist) of lim f(x) and lim f(x). (If a limit does not exist, enter DNE.) X→-4+ X-4- lim f(x) = X→-4- lim f(x) = X→-4+ O, lim f(x) ---Select--- X--4 O and its value is as follows. (If the limit does not Since these limits -Select--- exist, enter DNE.) lim f(x) = X-4arrow_forwardf(x)-|x| If lim x--3 x2+1 =4, then what is lim f(x) ? X--3 Your answer should be an integer.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage