Infinite factorial summation without the factorial

Calculus Level 5

1(31)13+(42)19(53)127+ \large 1 - \dbinom31 \frac13 + \dbinom42\frac19 -\dbinom53\frac1{27}+\ldots

If the above summation is equal to SS, evaluate 100×S3100\times \sqrt[3]S.

Try more problems of this type here.
×

Problem Loading...

Note Loading...

Set Loading...