Let ( f(z)=1/1-2z+1/1-5z )
(a) Find the Taylor-Maclaurin series for ( f ), and determine its radius of convergence.
(b) Find the Laurent series that is equal to ( f(z) ) for ( 1/5<|z|<1/2 )
a) ( ∑n=0[infinity] (2n+5n)zn ), ( R=1/5 )
b) ( ∑n=-[infinity][infinity] (2n+5n)zn )
c) ( ∑n=0[infinity] (2n+5n)z⁻n ), ( R=2 )
d) ( ∑n=-[infinity][infinity] (2n+5n)z⁻n )
