Question 1159031


a. 

{{{sum( (1/2)^n, n=0,infinity)}}}........apply series geometric test: {{{2}}}

=> {{{sum( (1/2)^n, n=0,infinity)=2}}}
  

b. 

{{{sum( (-1/2)^n, n=0,infinity)}}}

={{{2/3}}}

={{{0.666666666667}}}