given the geometric series s(x) = the sum from n=1 to infinity of (-e^-x)^n.
a) set x=1 in the above series and write out the first 4 terms
b) find the exact sum of the series s(1)
c) fing the exact sum of the series s(x)
d) for what values of x does the series from part (c) converge?
for part A i set the S(1) = the sum from n=1 to infinity of (-1/e)^n, and i think i got the first 4 terms but i still don't know what it converges to.
so on part B i got a sum of s(1) = e/(e+1) is it right?
on part C i got S(x) = e^x/(e^x+1) right?
since i am not sure about my answers i don't know part D, for what values it converges.
help me please