Find the sum of the infinite series #-ne^(1-n)# from #n=1# to #oo#?
1 Answer
Mar 5, 2018
Explanation:
The simplest solution I can think of starts with the infinite geometric series
which converges for
Differentiating both sides with respect to
Substituting
Alternative
We can evaluate the sum by a purely algebraic approach as well:
Subtracting, we get
This immediately gives the answer