Converging integration series

Calculus Level pending

Prove that the series converges:(See the serie carefully) In the options by e it means Euler Masheroni constant

\[ 1 - \int_1^2 \dfrac {dx}x + \dfrac12 - \int_2^3 \dfrac{dx}x + \dfrac13 - \cdots \]

Also find the sum of the expression

×

Problem Loading...

Note Loading...

Set Loading...