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Really need help understanding this limit/derivative question...
The limit
Lim x approachs 5pi CosX +1 / x5pi
represents the derivative of some function f(x) at some number a. Find f and a .
I don't even understand the wording of this question...
 one year ago
 one year ago
Really need help understanding this limit/derivative question... The limit Lim x approachs 5pi CosX +1 / x5pi represents the derivative of some function f(x) at some number a. Find f and a . I don't even understand the wording of this question...
 one year ago
 one year ago

This Question is Closed

EulerGroupieBest ResponseYou've already chosen the best response.1
There is an alternative form for the definition of a derivative...\[f'(a)=\lim_{x \rightarrow a} \frac{f(x)f(a)}{xa}\]It is often used when your are analyzing a piecewise defined function where the continuity is questionable. If we rewrite your problem to fit this form...\[f'(5\pi)=\lim_{x \rightarrow 5\pi} \frac{f(x)f(5\pi)}{x5\pi}\]If f(x) is the cosine...\[f'(5\pi)=\lim_{x \rightarrow 5\pi} \frac{\cos (x)\cos (5\pi)}{x5\pi}\]From this, it looks like f(x)=cos(x) and a=5pi .
 one year ago
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