Question

I am asked to apply the divergence test to the following series. Could someone please explain what the divergence test is? Thank you.

Answer 1

\[\sum_{k=1}^{\infty}(1+\frac{ 1 }{ k })^{k}\]

Answer 2

for divergent test
check ratio of any no with its consecutive number
for example
consider k=2 and k=3 in above
ratio is (1+1/2)^2/(1+1/3)^3
it is more than 1 hence it is divegent