Explanation Given information: Consider the expression lim x → 1 / π 1 + cos 1 x π x − 1 . Formula Used: The formula is lim x → 0 sin x x = 1 . Calculation: Consider the expression lim x → 1 / π 1 + cos 1 x π x − 1 . Let 1 x = θ , then θ = π as x → 1 π . Rewrite the above expression as: lim x → 1 / π 1 + cos 1 x π x − 1 = lim θ → π 1 + cos θ π θ − 1 Simplify the above expression. lim x → 1 / π 1 + cos 1 x π x − 1 = lim θ → π θ ( 1 + cos θ ) π − θ = lim θ → π θ ( 1 + cos ( π − θ ) ) π − θ = lim

7th Edition

ISBN: 9781524916817

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

Publisher: Kendall Hunt Publishing

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Chapter 2, Problem 34SP

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To find the limit limx→1/π1+cos1xπx−1 .

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Chapter 2, Problem 33SP

Chapter 2, Problem 35SP

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Chapter 2 Solutions

Calculus

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To find the limit lim x → 1 / π 1 + cos 1 x π x − 1 .

Solution Summary: The author explains how to find the limit undersetxto 1/pi.

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To find the limit limx→1/π1+cos1xπx−1 .

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Chapter 2 Solutions