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Problem 1. Determine if the following limits exist? If so, what are the limits? Give a 8-e proof for your answers. (i) limr-1 Vr. (ii) lim0 sin(). (iii) lim→0x sin().

Problem 1. Determine if the following limits exist? If so, what are the limits? Give a 8-e proof for your answers. (i) limr-1 Vr. (ii) lim0 sin(). (iii) lim→0x sin().

Calculus: Early Transcendentals
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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**Problem 1.** Determine if the following limits exist. If so, what are the limits? Give a δ-ε proof for your answers. (i) \(\lim_{x \to 1} \sqrt{x}\). (ii) \(\lim_{x \to 0} \sin\left(\frac{\pi}{x}\right)\). (iii) \(\lim_{x \to 0} x \sin\left(\frac{\pi}{x}\right)\).
Transcribed Image Text:**Problem 1.** Determine if the following limits exist. If so, what are the limits? Give a δ-ε proof for your answers. (i) \(\lim_{x \to 1} \sqrt{x}\). (ii) \(\lim_{x \to 0} \sin\left(\frac{\pi}{x}\right)\). (iii) \(\lim_{x \to 0} x \sin\left(\frac{\pi}{x}\right)\).
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