find-the-singular-point-1-e-z-z-2-2-sin-z-z-help-me-sir-

Question Number 138384 by mohammad17 last updated on 13/Apr/21

f i n d t h e s i n g u l a r p o i n t

(1) \frac{e^{z}}{z^{2}}

(2) \frac{s i n (z)}{z}

h e l p m e s i r

Answered by Mathspace last updated on 13/Apr/21

f (z) = \frac{e^{z}}{z^{2}} t h e s i n g k u l a r p o i n t i s 0

a n d R e (f, o) = {l i m}_{z \to 0} \frac{1}{(2 - 1)!} {z^{2} f (z)}^{) 1)}

= {l i m}_{z \to 0} {e^{z}}^{(1)} = {l i m}_{z \to 0} e^{z} = 1