what is the sum ofthe series 1^k+2^k+3^k+.......+n^k?

Question

need to findthe sum of the series

Answer 1

It entirely depends on k.

If k = 1, the series diverges.
If k = -2, the series converges to (pi^2)/6

Tell me your k and I'll tell you the sum.

Answer 2

Take a look at http://mathworld.wolfram.com/PowerSum.html