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1. 5.lim cos(x) sin(x)

1. 5.lim cos(x) sin(x)

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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The problem presented is a limit problem in calculus: \[ \lim_{{x \to 0}} \left( \frac{1}{x} - \frac{\cos(x)}{\sin(x)} \right) \] This limit requires evaluating the behavior of the expression as \( x \) approaches 0. Solving such limits often involves techniques like L'Hôpital's rule, Taylor series expansion, or algebraic manipulation to simplify the expression.
Transcribed Image Text:The problem presented is a limit problem in calculus: \[ \lim_{{x \to 0}} \left( \frac{1}{x} - \frac{\cos(x)}{\sin(x)} \right) \] This limit requires evaluating the behavior of the expression as \( x \) approaches 0. Solving such limits often involves techniques like L'Hôpital's rule, Taylor series expansion, or algebraic manipulation to simplify the expression.
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