sin z Prove that lim Cosz - = 1 and lim = 0. Z→0 Z Z→0 Z Hint: use the definition of the derivative, f'(0) = lim Z→O ƒ(z) – ƒ (0) Z
sin z Prove that lim Cosz - = 1 and lim = 0. Z→0 Z Z→0 Z Hint: use the definition of the derivative, f'(0) = lim Z→O ƒ(z) – ƒ (0) Z
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:sin z
Prove that lim
Cosz -
= 1 and lim
= 0.
Z→0 Z
Z→0
Z
Hint: use the definition of the derivative, ƒ'(0) = lim
Z→O
ƒ(z) – ƒ (0)
Z
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