(5) Let fn(x) = cos(nx). Graph fg. Guess an antiderivative of fn(x) with resp check your guess by differentiating. Then calculate fn[0,1] and show that lim_ƒn[0,1] n→∞ = 0.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 20E
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(5) Let fn(x) = cos(nx). Graph f9. Guess an antiderivative of fn(x) with respect to x and
check your guess by differentiating. Then calculate
fn[0,1]
and show that
lim_ƒn[0,1] = 0.
n→∞
Transcribed Image Text:(5) Let fn(x) = cos(nx). Graph f9. Guess an antiderivative of fn(x) with respect to x and check your guess by differentiating. Then calculate fn[0,1] and show that lim_ƒn[0,1] = 0. n→∞
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