Find a linear differential operator (of lowest order) that annihilates the given function: f(x) = x +3re2

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Q: Prove the following formula for all n EN by induction: 1+ 2·2 + ... + n · 2"-l = 1 + (n – 1)2".

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Q: 1- -In2 - cosh? () . 2 - cosh(Inx) dx

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A: brief explanation is given below.

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Q: 1. Evaluate the following limits. r+ Vr* – 3r a. lim - Vr4 + 3x

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