Sum outta nowhere!

Calculus Level 5

\[\large{\displaystyle \sum_{k=1}^{\infty}\frac{(-1)^{k}k^{2}( \ln(7))^{k}}{\Gamma(k)}}\]

If the value of above summation equals \[\large{\frac{A}{B}\left(-(\ln 7)^{C}+D (\ln 7)^{E}-(\ln 7)^{F}\right)} . \]

Find the six digit number \(\overline{ABCDEF}\).


Details And Assumptions:

  • \(A,B,C,D,E,F\) are positive integers not all distinct.

  • \(C<E<F\)

×

Problem Loading...

Note Loading...

Set Loading...