Question

determining whether a series is convergent or divergent

Answer 1

\[\sum_{n=1}^{\infty}\frac{ k(k+14) }{ (k+13)^2 }\]

Answer 2

Determine whether the series is convergent or divergent. If it is convergent, find its sum.

Answer 3

oh and i meant to say k=1 on the sigma notation

Answer 4

\[\sum_{k=1}^{\infty} \frac{ k^2+14k }{ k^2-26k+169 }\]

Answer 5

\[\lim_{5 \rightarrow \infty}\frac{ k^2+14k }{ k^2-26k+169 }\]

Answer 6

where do i go from here?

Answer 7

divergence test

Answer 8

which would like what with this question?

Answer 9

http://mathworld.wolfram.com/DivergenceTests.html