Question

If $f(z)=\frac{1}{z^2-3z+2}$is expanded in the region |z|<1, then

• A. $f(z)=\frac{1}{2}+\frac{3z}{4}+\frac{7}{8}z^2+\frac{15}{16}z^3+.......$
• B. $f(z)=\frac{1}{2}+\frac{4}{3}z+\frac{8}{7}z^2+\frac{16}{15}z^3+.......$
• C. $f(z)=\frac{1}{2}+\frac{3z}{4}+\frac{7}{9}z^2+\frac{15}{19}z^3+.......$
• D. $f(z)=\frac{1}{2}+\frac{3z}{4}+\frac{6}{7}z^2+\frac{15}{11}z^3+.......$

Answer 1

Answer: (A)

$f(z)=\frac{1}{2}+\frac{3z}{4}+\frac{7}{8}z^2+\frac{15}{16}z^3+.......$

Answer 2

The correct answer is(A): $f(z)=\frac{1}{2}+\frac{3z}{4}+\frac{7}{8}z^2+\frac{15}{16}z^3+.......$