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

Mathematics
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3+x+x^2+x^3+.... idk what to do about that 3
3x^0 ?
well but the next one should have been 3x and then 3x^2, etc

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Other answers:

i see ...
@TuringTest any ideas?
hmmm let me read through the book once more..
what's that?
doesn't converge
By the limit test, the series does not converge.
It should though, for some values of x
1 Attachment
#22.
x<1 ?
im thinking partial sums or smth..
I need a refresh ... rusty
well yea but i gotta find an equation for Sum. and i can't figure out what a is
http://www.wolframalpha.com/input/?i=3%2Bx%2Bx%5E2%2Bx%5E3%2B....
or the other side could be like ((1/3)x)
\[3 + \frac{x}{1-x}\] It only works if x<1
math, wolf can't compute this in terms of x. ohhhhhhhhhhhhhh Ishaain u're right.
And I am sure the series will converge only when x<1
*Ishaan
actually im not sure now
you should try partial sums ...
that 3 is still bothering me.
what if you divide by 3?
then a get's screwed 1+(1/3)x+(1/3)x^2, etc..
*gets
@radar can u take a look?
hmm what if i start with x
duhh that's ishaan's answer, he was right. Thanks guys!

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