a) The function 1/1-x has Taylor Series (a=0) of
1+x +x^2 + x^3 + x^4 + ......
Which values of x will cause this series to converge?
b) Find a Taylor Series (a=0) for the derivative of .f(x)= 1/1-x
c) Evaluate the series:
(3/4) + (3^2/4^2) +(3^3/4^3) + (3^4/4^4)
d) Evaluate the series: (Hint: part b)
Please show all your work