6 Evaluating $\lim_{n\rightarrow\infty}x_{n+1}-x_n$ 2 $1 + \frac{1}{1+2}+ \frac{1}{1+2+3}+ … + \frac{1}{1+2+3+…+n} = ?$ 2 Limit of $x_1=1, x_{n+1}=x_n+\frac1{x_n^2}$ 2 Convergence of $x_{n+1} = \frac12(x_n + \frac2{x_n}).$ 1 Proving $\lim _{x \to 0^-} \frac{1}{x}=-\infty$

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### Questions (11)

 5 Limit of $x_n/n$ for sequences of the form $x_{n+1}=x_n+1/x_n^p$ 4 Rain droplets falling on a line 4 Confusion of expectation of maximum exponential random variables 2 Confusion about $\epsilon - \delta$ language 2 Evaluating $\lim_{x\rightarrow \infty}e^{-x } + 2\cos(3x)$ [duplicate]

### Tags (36)

 12 calculus × 16 2 analysis 12 limits × 13 2 divergent-series 12 sequences-and-series × 11 1 real-analysis × 5 6 definite-integrals × 2 1 induction × 2 3 convergence-divergence × 2 1 discrete-mathematics × 2

### Bookmarks (56)

 1067 Is $\frac{\textrm{d}y}{\textrm{d}x}$ not a ratio? 403 How can I evaluate $\sum_{n=0}^\infty(n+1)x^n$? 389 The Ring Game on $K[x,y,z]$ 244 Evaluate $\int_{0}^{\frac{\pi}2}\frac1{(1+x^2)(1+\tan x)}\:\mathrm dx$ 244 How discontinuous can a derivative be?