Find the limit. Use l’Hospital’s Rule where appropriate.If there is a more elementary method, consider using it. If l’Hospital’s Rule doesn’t apply, explain why. limit x appraoaches 0 + sin x ln x

Find the limit. Use l’Hospital’s Rule where appropriate.If there is a more elementary method, consider using it. If l’Hospital’s Rule doesn’t apply, explain why. limit x appraoaches 0 + sin x ln x

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.3: Trigonometric Functions Of Real Numbers

Problem 80E

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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

Find the limit. Use l’Hospital’s Rule where appropriate.
If there is a more elementary method, consider using it. If l’Hospital’s Rule doesn’t apply, explain why.

limit x appraoaches 0 + sin x ln x

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