Explanation Given information: Consider the expression lim t → 0 tan − 1 t sin − 1 t . Formula Used: The formulas are: lim x → 0 sin − 1 x x = 1 and lim x → 0 tan − 1 x x = 1 Calculation: Consider the expression lim t → 0 tan − 1 t sin − 1 t . Multiply and divide by t in the above expression

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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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 topic…

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Chapter 2, Problem 40SP

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To find the limit limt→0tan−1tsin−1t .

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Chapter 2, Problem 39SP

Chapter 2, Problem 41SP

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Chapter 2 Solutions

Calculus

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To find the limit lim t → 0 tan − 1 t sin − 1 t .

Solution Summary: The author calculates the value of the limit by multiplying and dividing by t.

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To find the limit limt→0tan−1tsin−1t .

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Chapter 2 Solutions