# 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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