18 Why rationalize the denominator? 17 Show that $\sqrt{2+\sqrt{2+\sqrt{2…}}}$ converges to 2 15 Why does the series $\sum_{n=1}^\infty\frac1n$ not converge? 13 Evaluating $\int\frac{\sqrt{x^2-1}}x\mathrm dx$ 12 Find zeros of function $f(x)$

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### Questions (24)

 19 Making $121$ with five $0$s 18 Can a double-factorial be a perfect square? 17 FoxTrot Bill Amend Problems 16 Approximating $100!$ 8 $\exists a, b \in \mathbb{Z}$ such that $a^2 + b^2 = 5^k$

### Tags (117)

 130 calculus × 56 34 real-analysis × 8 110 algebra-precalculus × 45 26 limits × 17 78 integration × 27 24 solution-verification × 7 43 sequences-and-series × 8 23 soft-question × 4 42 derivatives × 13 22 trigonometry × 11

### Bookmarks (51)

 655 Does $\pi$ contain all possible number combinations? 365 Pedagogy: How to cure students of the “law of universal linearity”? 345 Find five positive integers whose reciprocals sum to $1$ 185 Generalizing $\int_{0}^{1} \frac{\arctan\sqrt{x^{2} + 2}}{\sqrt{x^{2} + 2}} \, \frac{\operatorname dx}{x^{2}+1} = \frac{5\pi^{2}}{96}$ 164 Proving the identity $\sum_{k=1}^n {k^3} = \big(\sum_{k=1}^n k\big)^2$ without induction