# Error

Calculus Level 4

Given that $$f(x)$$ satisfy the equation $\displaystyle \int f(x) \, dx = x f(x) + \dfrac{e^{-x^2}}{\sqrt \pi} + C,$ where $$C$$ is the constant of integration.

If we know that $$f(0) = 0$$ and $$\displaystyle \lim_{n\to\infty} f(n) = 1$$, compute $$f'(0)$$ to 2 decimal places.

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