bahrom7893
Find the sum of the series. For what variables of x will this series converge?



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bahrom7893
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3+x+x^2+x^3+....
idk what to do about that 3

mathg8
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3x^0 ?

bahrom7893
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well but the next one should have been 3x and then 3x^2, etc

mathg8
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i see ...

bahrom7893
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@TuringTest any ideas?

bahrom7893
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hmmm let me read through the book once more..

mathg8
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bahrom7893
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what's that?

mathg8
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doesn't converge

mathg8
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By the limit test, the series does not converge.

bahrom7893
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It should though, for some values of x

bahrom7893
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#22.

Ishaan94
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x<1 ?

bahrom7893
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im thinking partial sums or smth..

mathg8
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I need a refresh ... rusty

bahrom7893
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well yea but i gotta find an equation for Sum. and i can't figure out what a is


bahrom7893
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or the other side could be like ((1/3)x)

Ishaan94
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\[3 + \frac{x}{1x}\] It only works if x<1

bahrom7893
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math, wolf can't compute this in terms of x. ohhhhhhhhhhhhhh Ishaain u're right.

Ishaan94
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And I am sure the series will converge only when x<1

bahrom7893
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*Ishaan

bahrom7893
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actually im not sure now

mathg8
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you should try partial sums ...

bahrom7893
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that 3 is still bothering me.

mathg8
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what if you divide by 3?

bahrom7893
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then a get's screwed
1+(1/3)x+(1/3)x^2, etc..

bahrom7893
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*gets

bahrom7893
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@radar can u take a look?

bahrom7893
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hmm what if i start with x

bahrom7893
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duhh that's ishaan's answer, he was right. Thanks guys!