This is coming from the original question of :
Find all the values of x such that the given series would converge.
summation of ((11x)^n)/(n^10) from n=1 to infinity
The series is convergent
from ?, left end included (enter Y or N):?
to ?, right end included (enter Y or N):?
Convergent means
lim{n->oo} |[(11x)^(n+1))/(n+1)^10)]/[(11x)^n)/(n^10)]| < 1
|11x| < 1, attn: lim{n->oo}(n^10)/((n+1)^10) = lim{n->oo} 1/((1+1/n)^10) = 1
R = 1/11
At x = +/-1/11
summation of |((11x)^n)/(n^10)| from n=1 to infinity converges by p-series test.
Answer: The series is convergent on [-1/11, 1/11].
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