x² sin(1/x), x < 0 x > 0. 5. One-sided limits Let f(x) = Find (a) lim, 0+ f(x) and (b) lim, »o f(x); then use limit defini- tions to verify your findings. (c) Based on your conclusions in parts (a) and (b), can you say anything about lim,o f(x)? Give reasons for your answer.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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x² sin(1/x), x < 0
x > 0.
5. One-sided limits Let f(x) =
Find (a) lim, 0+ f(x) and (b) lim, »o f(x); then use limit defini-
tions to verify your findings. (c) Based on your conclusions in
parts (a) and (b), can you say anything about lim,o f(x)? Give
reasons for your answer.
Transcribed Image Text:x² sin(1/x), x < 0 x > 0. 5. One-sided limits Let f(x) = Find (a) lim, 0+ f(x) and (b) lim, »o f(x); then use limit defini- tions to verify your findings. (c) Based on your conclusions in parts (a) and (b), can you say anything about lim,o f(x)? Give reasons for your answer.
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