Teaching DSSSB TGT Mock Test 2025 Mathematical Science Complex Analysis Taylor Series, Laurent Series
Which of the following is the Taylor series expansion of f(z) = \(\frac{(z^2-1)}{(z+2)(z+3)}\) in |z| < 2
1
1 + \(\frac32(1-\frac z2+\frac{z^2}{4}-...)\) - \(\frac83(1-\frac z3+\frac{z^2}{9}-...)\)
2
1 + \(\frac32(1+\frac z2-\frac{z^2}{4}+...)\) - \(\frac83(1-\frac z3+\frac{z^2}{9}-...)\)
3
1 + \(\frac32(1-\frac z2+\frac{z^2}{4}-...)\) - \(\frac83(1+\frac z3-\frac{z^2}{9}+...)\)
4
1 + \(\frac32(1+\frac z2+\frac{z^2}{4}+...)\) - \(\frac83(1+\frac z3+\frac{z^2}{9}+...)\)