Practice Preliminaries - CSIR-UGC NET Offered by Unacademy

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Preliminaries

Quick practice

Question 1 of 5

Let $\mathrm{f}: \mathrm{C} \rightarrow \mathrm{C}$ be a non-constant entire function such that power series expansion $\sum_{n=0}^{\infty} c_{n}(z-a)^{n}$ has atleast one coefficient zero $\forall \mathrm{a} \in \mathrm{IR}$ .Then range of f(z)

A

can be proper densesubset of C

B

can omit one point of C

C

can be bounded

D

C