Question: Let P(z) = 1 + 2z + 3z 2 + + nz n1 . Use the Gauss-Lucas theorem to show that all the zeroes of

Let P(z) = 1 + 2z + 3z2+ + nzn1. Use the Gauss-Lucas theorem to show that all the zeroes of P(z) are inside the unit disc.

(pick a suitable polynomial Q such that Q= P.)

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