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### Questions (9)

 3 Approximation of $\pi$, with an error of less than $\frac{1}{2}\times 10^{-8}$ 3 How is $\lim_{t \to \infty}\left(1+\frac{r}{t}\right)^{tn} = e^{rn}$. 3 How to solve this Diffrential equation? 2 Does $\Theta(m \log n)$ and $0 < m < n^2$ imply $\Theta(n^2 \log n)$? 2 The number of roots of $f(x)=xe^x-1$

### Reputation (195)

 +10 The number of roots of $f(x)=xe^x-1$ +15 Approximation of $\pi$, with an error of less than $\frac{1}{2}\times 10^{-8}$ +5 How to solve this Diffrential equation? +5 How is $\lim_{t \to \infty}\left(1+\frac{r}{t}\right)^{tn} = e^{rn}$.

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### Tags (10)

 0 calculus × 3 0 sequences-and-series 0 algorithms × 2 0 taylor-expansion 0 differential-equations × 2 0 asymptotics 0 limits 0 computational-complexity 0 numerical-methods 0 conditional-probability

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