Question

infinite series of n^7/7n^6 converge or diverge using ratio test

Answer 1

I can set it up, but I do not know how to cancel things out after that.

Answer 2

(n+1)^7/(7(n+1)^6) * 7n^6/n^7

Answer 3

shouldnt it be a division? its a ratio test

Answer 4

oh i see - sorry

Answer 5

no problem, I am not sure where to go from here

Answer 6

i think this reduces to
n+1 / 7 * 7 / n = n+1 / n

Answer 7

but the answer is that it converges to o, how?

Answer 8

hmm - right - i thought a ratio n+1/n means diverging - i'll check it out

Answer 9

i dont understand this - the ratio test says that if the 'n+1' term / 'n' term is > 1 then the series diverges - if < 1 then it converges.

Answer 10

\[\sum_{n=1}^\infty \frac{n^7}{7n^6}\]

diverges.

Answer 11

the series diverges...