Sum of Series

Sn = x + x2 +x4 + ..... +x2n

i remeber man111 posting a question some time ago related to this

i think when |x|<1 and n→∞ , this sum should be converging which is why i am interested to find the result.

plz try this problem

4 Answers

71
Vivek @ Born this Way ·

Wouldn't the infinite GP formula Suffice ? with r = x2 and it converges since |x| <1

1057
Ketan Chandak ·

but @vivek....dis is not a GP....

71
Vivek @ Born this Way ·

??

262
Aditya Bhutra ·

@ vivek - check the last term properly, it is x2n and not x2n

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