bahrom7893
  • bahrom7893
Find the sum of the series. For what variables of x will this series converge?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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bahrom7893
  • bahrom7893
3+x+x^2+x^3+.... idk what to do about that 3
anonymous
  • anonymous
3x^0 ?
bahrom7893
  • bahrom7893
well but the next one should have been 3x and then 3x^2, etc

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anonymous
  • anonymous
i see ...
bahrom7893
  • bahrom7893
@TuringTest any ideas?
bahrom7893
  • bahrom7893
hmmm let me read through the book once more..
anonymous
  • anonymous
bahrom7893
  • bahrom7893
what's that?
anonymous
  • anonymous
doesn't converge
anonymous
  • anonymous
By the limit test, the series does not converge.
bahrom7893
  • bahrom7893
It should though, for some values of x
1 Attachment
bahrom7893
  • bahrom7893
#22.
anonymous
  • anonymous
x<1 ?
bahrom7893
  • bahrom7893
im thinking partial sums or smth..
anonymous
  • anonymous
I need a refresh ... rusty
bahrom7893
  • bahrom7893
well yea but i gotta find an equation for Sum. and i can't figure out what a is
anonymous
  • anonymous
http://www.wolframalpha.com/input/?i=3%2Bx%2Bx%5E2%2Bx%5E3%2B....
bahrom7893
  • bahrom7893
or the other side could be like ((1/3)x)
anonymous
  • anonymous
\[3 + \frac{x}{1-x}\] It only works if x<1
bahrom7893
  • bahrom7893
math, wolf can't compute this in terms of x. ohhhhhhhhhhhhhh Ishaain u're right.
anonymous
  • anonymous
And I am sure the series will converge only when x<1
bahrom7893
  • bahrom7893
*Ishaan
bahrom7893
  • bahrom7893
actually im not sure now
anonymous
  • anonymous
you should try partial sums ...
bahrom7893
  • bahrom7893
that 3 is still bothering me.
anonymous
  • anonymous
what if you divide by 3?
bahrom7893
  • bahrom7893
then a get's screwed 1+(1/3)x+(1/3)x^2, etc..
bahrom7893
  • bahrom7893
*gets
bahrom7893
  • bahrom7893
@radar can u take a look?
bahrom7893
  • bahrom7893
hmm what if i start with x
bahrom7893
  • bahrom7893
duhh that's ishaan's answer, he was right. Thanks guys!

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