Too many Logs

Calculus Level 3

n=21(lnn)ln(lnn) \large \sum_{n=2}^\infty \dfrac1{ ( \ln n)^{\ln (\ln n) } }

Does the series above converge or diverge?

Hint: For x2x\geq 2, ln(x)<x\ln(x) < \sqrt x.

×

Problem Loading...

Note Loading...

Set Loading...