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1. (a) Let f(x) = exp(x),x ∈ R. Show that f is invertible and compute the...

1.

(a) Let f(x) = exp(x),x ∈ R. Show that f is invertible and compute the derivative of f−1(y) in terms of y. [5]

(b) find the Taylor series and radius of convergence for g(x) = log(1+ x) about x = 0. [6]

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