Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Question
Use e-d to prove lim→1 sin sin 1. [Hint: we know sin(1+ h) = sin(1) cos(h) + cos(1) sin(h), which means sin(1 +h) – sin(1) sin(1) · (cos(h) – 1) + cos(1) · sin(h) -2 sin²(÷) Then use the fact (for free) that sin(x)| < |æ| for all æ.]
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Transcribed Image Text:Use e-d to prove lim→1 sin sin 1. [Hint: we know sin(1+ h) = sin(1) cos(h) + cos(1) sin(h), which means sin(1 +h) – sin(1) sin(1) · (cos(h) – 1) + cos(1) · sin(h) -2 sin²(÷) Then use the fact (for free) that sin(x)| < |æ| for all æ.]
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