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### Questions (53)

 5 Evaluating $\int{\frac{1}{\sqrt{x^2-1}(x^2+1)}dx}$ 5 Checking whether a graph is planar 5 Find limit of this decreasing sequence 4 How to show this $\lim_{n\rightarrow\infty} {\sqrt[n]{1+n^2}} =1$ 4 Prove that $\sum_{n=1}^{\infty}\frac{1}{n(n+1)\cdots(n+a)}=\frac{1}{aa!}$ [duplicate]

### Reputation (483)

 +5 Limit evaluation $\lim_{x\to2}\frac{\sqrt{12-x^3}-\sqrt[3]{x^2+4}}{x^2-4}$ +5 Limit of this recursive sequence and convergence +10 Sequence $a_{n+1}=\sqrt{1+\frac{1}{2}a_n^2}$ -2 Proof definite integral $\int_α^{π/2-α}f(\tan{x})dx=\frac{\pi}{2}-α$

 0 Evaluate $(1-\frac1{2^2})(1-\frac1{3^2})\ldots(1-\frac1{2015^2})$

### Tags (32)

 0 sequences-and-series × 18 0 limits-without-lhospital × 3 0 calculus × 10 0 improper-integrals × 3 0 integration × 8 0 graph-theory × 2 0 limits × 6 0 fourier-analysis × 2 0 indefinite-integrals × 3 0 taylor-expansion × 2

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