Question

Find the sum of the series. For what variables of x will this series converge?

Answer 1

3+x+x^2+x^3+....
idk what to do about that 3

Answer 2

3x^0 ?

Answer 3

well but the next one should have been 3x and then 3x^2, etc

Answer 4

i see ...

Answer 5

@TuringTest any ideas?

Answer 6

hmmm let me read through the book once more..

Answer 7

what's that?

Answer 8

doesn't converge

Answer 9

By the limit test, the series does not converge.

Answer 10

It should though, for some values of x

Answer 11

#22.

Answer 12

x<1 ?

Answer 13

im thinking partial sums or smth..

Answer 14

I need a refresh ... rusty

Answer 15

well yea but i gotta find an equation for Sum. and i can't figure out what a is

Answer 16

http://www.wolframalpha.com/input/?i=3%2Bx%2Bx%5E2%2Bx%5E3%2B....

Answer 17

or the other side could be like ((1/3)x)

Answer 18

\[3 + \frac{x}{1-x}\] It only works if x<1

Answer 19

math, wolf can't compute this in terms of x. ohhhhhhhhhhhhhh Ishaain u're right.

Answer 20

And I am sure the series will converge only when x<1

Answer 21

*Ishaan

Answer 22

actually im not sure now

Answer 23

you should try partial sums ...

Answer 24

that 3 is still bothering me.

Answer 25

what if you divide by 3?

Answer 26

then a get's screwed
1+(1/3)x+(1/3)x^2, etc..

Answer 27

*gets

Answer 28

@radar can u take a look?

Answer 29

hmm what if i start with x

Answer 30

duhh that's ishaan's answer, he was right. Thanks guys!