Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

wcaprar

  • 2 years ago

Calc II problem. Sum of a series as a function of x?

  • This Question is Closed
  1. wcaprar
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Find all values of x for which the series converges. For these values of x, write the sum of the series as a function of x. \[\sum_{n=0}^{\infty} 9((x-5)/9)^n\] series converges from -4 to 14. But how do I express the sum as a function of F(x)?

  2. Thomas9
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    As you might know, the following is true: \[\sum_{n=0}^\infty x^n=\frac{1}{1-x}\] You can use that here: let's define y: \[y=\frac{x-5}{9}\] we get: \[\sum_{n=0}^\infty 9y^n = \frac{9}{1-y}\] and so: \[\sum_{n=0}^\infty 9 {\frac{x-5}{9}}^n=\frac{9}{1-\frac{x-5}{9}}=\frac{81}{14-x}\]

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

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.