### Questions (25)

 5 show that the function $f(x)= \frac{x^2+1}{x+1}$ is continuous at the point $x_0=1$ 3 show that $\frac{\sqrt{2x}}{\sqrt{x+1}}$ is continuous at the point $x_0=1$ 2 Help with approximation of the length of a curve in $\mathbb{R}^n$ 2 convergence radius of two specific power series 2 Chain rule in $\mathbb{R}^n$, did I wrote it down correctly?

### Reputation (156)

 +5 How to solve $y''=\sqrt{1-(y')^2}$? +10 Help with approximation of the length of a curve in $\mathbb{R}^n$ +5 Railway metric, help showing that the space is bounded but not compact +5 convergence radius of two specific power series

### Answers (2)

 1 probability of a 3 outcomes event 0 Continuous function on $\mathbb{Q}$

### Tags (33)

 1 probability × 2 0 compactness × 3 1 combinatorics × 2 0 metric-spaces × 3 0 real-analysis × 22 0 continuity × 3 0 proof-verification × 5 0 calculus × 3 0 hilbert-spaces × 3 0 norm × 2

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