Everybody knows the following infinite series :
which comes out from the Taylor Series of . It is a single summation.
What about the following :
Or, Let's generalize that for summations :
Does this have a closed form? It is a challenge for you guys!
: Find the value of :
: Find the closed form of :
Try them ! I will share my approach the next week.
This note is a part of the set Sequences and Series Challenges.