4. Let f(x) = x² sin() and g(x) = sinx. Prove that f(x) lim z>0 g(x) Is it true that f(x) lim T >0 g(x) exists. f'(x) lim I >0 g'(x) ?

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.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 37E
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4. Let f(x) = x² sin() and g(x) = sinx. Prove that
f(x)
lim
z>0 g(x)
Is it true that
f(x)
lim
T >0 g(x)
exists.
f'(x)
lim
I >0 g'(x)
?
Transcribed Image Text:4. Let f(x) = x² sin() and g(x) = sinx. Prove that f(x) lim z>0 g(x) Is it true that f(x) lim T >0 g(x) exists. f'(x) lim I >0 g'(x) ?
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