anonymous
  • anonymous
Really need help understanding this limit/derivative question... The limit Lim x approachs 5pi CosX +1 / x-5pi 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...
OCW Scholar - Single Variable Calculus
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
There is an alternative form for the definition of a derivative...\[f'(a)=\lim_{x \rightarrow a} \frac{f(x)-f(a)}{x-a}\]It is often used when your are analyzing a piecewise defined function where the continuity is questionable. If we re-write your problem to fit this form...\[f'(5\pi)=\lim_{x \rightarrow 5\pi} \frac{f(x)-f(5\pi)}{x-5\pi}\]If f(x) is the cosine...\[f'(5\pi)=\lim_{x \rightarrow 5\pi} \frac{\cos (x)-\cos (5\pi)}{x-5\pi}\]From this, it looks like f(x)=cos(x) and a=5pi .

Looking for something else?

Not the answer you are looking for? Search for more explanations.