Use the identity to prove that Then use the inequality Finally, prove rigorously that y y sin

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Use the identity

+ y sin (2) cos (**) sin x + sin y = 2 sin

to prove that

sin(h/2) sin(a+h)- sin a h- h/2 h 2 cos (a + 21/1)

Then use the inequality sin x X < 1 for x # 0 to show that

sin(a+h)- sin al Finally, prove rigorously that lim sin x = sin a. xa

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Related Book For  book-img-for-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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