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Problem 2. cos (x) (a) lim x+1 √√x-1

Problem 2. cos (x) (a) lim x+1 √√x-1

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 2. Find the following limits. (a) \(\lim_{{x \to 1}} \frac{\cos\left(\frac{\pi}{2}x\right)}{\sqrt{x} - 1}\) (b) \(\lim_{{x \to \infty}} \frac{e^x}{x^4}\) (c) \(\lim_{{x \to 0}} \frac{x^3}{x - \arctan x}\) (d) \(\lim_{{x \to \infty}} \frac{e^{1/x} - 1}{1/x}\)
Transcribed Image Text:## Problem 2. Find the following limits. (a) \(\lim_{{x \to 1}} \frac{\cos\left(\frac{\pi}{2}x\right)}{\sqrt{x} - 1}\) (b) \(\lim_{{x \to \infty}} \frac{e^x}{x^4}\) (c) \(\lim_{{x \to 0}} \frac{x^3}{x - \arctan x}\) (d) \(\lim_{{x \to \infty}} \frac{e^{1/x} - 1}{1/x}\)
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