Alex
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 148 Too old to start math 16 How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$? 11 How to determine equation for $\sum_{k=1}^n k^3$ 9 What is $\int\frac{dx}{x+\sqrt{1-x^2}}$? 8 How to differentiate $y=\sqrt{\frac{1+x}{1-x}}$?

### Reputation (12,476)

 +10 Find the value of : $\lim_{n\to\infty}\sqrt[n]{\frac{|\sin1|}1+\cdots+\frac{|\sin n|}{n}\ }$ +10 Find the value of : $\lim_{ x \to \infty} \left(\sqrt{x+\sqrt{x+\sqrt{x}}}-\sqrt{x}\right)$ +10 How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$? +10 Permutation and Combination (high school level)

### Questions (25)

 29 Video lectures on Real Analysis? 10 $\sin 4x +\sqrt{3} \sin 3 x + \sin 2 x=0$ 5 Convergence proofs: why is it necessary to prove specifically for $\epsilon$? 5 Recurrence $a_n = \sum_{k=1}^{n-1}a^2_{k}, a_1=1$ 5 Are these numbers $h_{r,s}$ irrational?

### Tags (155)

 276 calculus × 209 63 combinatorics × 81 201 limits × 160 60 real-analysis × 74 195 probability × 217 55 algebra-precalculus × 41 143 sequences-and-series × 130 52 asymptotics × 62 67 summation × 31 51 integration × 44

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 Mathematics 12,476 rep 41329 Stack Overflow 421 rep 2617 Data Science 167 rep 7 Cross Validated 150 rep 6 Cognitive Sciences 149 rep 17