Limit of a power with a slowly growing base term

Let $f:\mathbb R\to\mathbb R$ be a differentiable function with $\lim_{x\to\infty}f(x)=\infty$ and $\lim_{x\to\infty}f'(x)=2$. Then

$$\lim_{x\to\infty}\left(1+\frac{f(x)}{x^2}\right)^x$$

equals ____________ (round off to 2 decimal places)