Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing

This Question is Closed

wcaprarBest ResponseYou've already chosen the best response.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. \[\sum_{n=0}^{\infty} 9((x5)/9)^n\] series converges from 4 to 14. But how do I express the sum as a function of F(x)?
 2 years ago

Thomas9Best ResponseYou've already chosen the best response.1
As you might know, the following is true: \[\sum_{n=0}^\infty x^n=\frac{1}{1x}\] You can use that here: let's define y: \[y=\frac{x5}{9}\] we get: \[\sum_{n=0}^\infty 9y^n = \frac{9}{1y}\] and so: \[\sum_{n=0}^\infty 9 {\frac{x5}{9}}^n=\frac{9}{1\frac{x5}{9}}=\frac{81}{14x}\]
 2 years ago
See more questions >>>
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
 Engagement 19 Mad Hatter
 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.