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Convergence of series, sequences and functions and different modes of convergence.

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What is the value of following limit?

Let $P$ be a polynomial in complex variable $z$ of degree $d$ i.e. $P(z)= a_d z^d+.....+a_1 z+a_0$ Now I want to calculate following limit $f(z) = \limsup_{n \to \infty} \frac{1}{d^n} (Log|P(z)^ …
Mayuresh L's user avatar