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62. lim (e² +10x)¹/

62. lim (e² +10x)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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4.4-Number 62, please. Find the limit. Use l’Hopsital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’s rule doesn’t apply, explain why.
Here is the transcription of the text that would appear on an educational website, focusing on limits in calculus: 59. \(\lim_{{x \to 0}} (1 - 2x)^{1/x}\) 60. \(\lim_{{x \to \infty}} \left(1 + \frac{a}{x}\right)^{bx}\) 61. \(\lim_{{x \to 1^+}} x^{1/(1-x)}\) 62. \(\lim_{{x \to \infty}} (e^x + 10x)^{1/x}\) 63. \(\lim_{{x \to \infty}} x^{1/x}\) 64. \(\lim_{{x \to \infty}} x^{e^{-x}}\) 65. \(\lim_{{x \to \infty}} (4x + 1)^{\cot x}\) The text seems to focus on evaluating mathematical limits, which are essential concepts in calculus. Each expression provides a different scenario to explore the behavior of functions as they approach a particular value, either finite or infinite.
Transcribed Image Text:Here is the transcription of the text that would appear on an educational website, focusing on limits in calculus: 59. \(\lim_{{x \to 0}} (1 - 2x)^{1/x}\) 60. \(\lim_{{x \to \infty}} \left(1 + \frac{a}{x}\right)^{bx}\) 61. \(\lim_{{x \to 1^+}} x^{1/(1-x)}\) 62. \(\lim_{{x \to \infty}} (e^x + 10x)^{1/x}\) 63. \(\lim_{{x \to \infty}} x^{1/x}\) 64. \(\lim_{{x \to \infty}} x^{e^{-x}}\) 65. \(\lim_{{x \to \infty}} (4x + 1)^{\cot x}\) The text seems to focus on evaluating mathematical limits, which are essential concepts in calculus. Each expression provides a different scenario to explore the behavior of functions as they approach a particular value, either finite or infinite.
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L'Hopital's Rule is used here because of infinite/infinite term is present.

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