Question: Can show step solutions. Advanced maths level Math induction. (a) Prove by mathematical induction that (xe' )= [x2 + 2nx+ n(n-1) e for ne Z.

Can show step solutions. Advanced maths level Math induction.

(a) Prove by mathematical induction that (xe' )= [x2 + 2nx+ n(n-1) e" for ne Z. (b) Hence or otherwise, determine the Maclaurin series of f (x) = xe in ascending powers of x, up to and including the term in x*. (c) Hence or otherwise, determine the value of lim

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