Who Let The Logarithms In?
Calculus
Level
5
\[\dfrac{\ln 4}{2^{3}} + \dfrac{\ln 6}{3^{3}} + \dfrac{\ln 8}{4^{3}} + \dfrac{\ln 10}{5^{3}} + \cdots \]
You may use the approximations:
\(\zeta(3)\approx 1.2020569\) and \( \zeta'(3)\approx-0.198126\).
Notation: \(\zeta(\cdot) \) denotes the Riemann zeta function.
by
Harsh Shrivastava