A calculus problem by Muhammad Shariq

Calculus Level pending

If \(\large f(x)=\ln\left(\displaystyle \sum_{n=0}^\infty \frac{x^{n+1}}{(n)!}\right)\) then \(\large f'(1)=\frac{a}{b}\) where \(\large a\) and \(\large b\) are co-prime positive integers. Compute \(\large a+b\).

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