8. P\\\\infty \ n=0 z\ n\ \ 1\ 2\ n\ where z is a real number. You will need to specify the values of z for\ which you can compute the summat

\\\\sum_(n=0)^(\\\\infty ) z^(n)((1)/(2))^(n)

where

z

is a real number. You will need to specify the values of

z

for\ which you can compute the summation.

8. n=0zn(21)n where z is a real number. You will need to specify the values of z for which you can compute the summation