*0 (cot(x) - 1) X-0

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...
Question
The image shows a mathematical limit expression:

\[
\lim_{{x \to 0}} \left( \cot(x) - \frac{1}{x} \right)
\]

This expression involves finding the limit as \(x\) approaches 0 for the difference between the cotangent of \(x\) and the reciprocal of \(x\).

In mathematical analysis and calculus, evaluating such limits is a common task, particularly when dealing with indeterminate forms.
Transcribed Image Text:The image shows a mathematical limit expression: \[ \lim_{{x \to 0}} \left( \cot(x) - \frac{1}{x} \right) \] This expression involves finding the limit as \(x\) approaches 0 for the difference between the cotangent of \(x\) and the reciprocal of \(x\). In mathematical analysis and calculus, evaluating such limits is a common task, particularly when dealing with indeterminate forms.
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