Zain Patel

 14 Wanted : for more formulas to find the area of a triangle? 13 What is the name for a function whose codomain and domain are equal? 12 Prove that $S_n$ is isomorphic to a subgroup of $A_{n+2}$ 12 Calculate $\int_{1/t}^t\dfrac{dx}{(x^2+1)(x^t+1)}$ 12 Solve $2^x+2^{-x} = 2$

### Reputation (15,731)

 +10 Using the sandwhich theorem to evaluate $\lim_{n \to \infty} \frac{n!}{n^n}$ +10 Solving differential equation without finding integrating factor -2 $k2^x+2^x=8$, find the possible values of $k$ +10 What are the limits of these sine functions as x approaches infinity?

### Questions (19)

 14 Evaluating $\int_{0}^{\infty} \left[\left(\frac{2015}{2015+x}+\cdots +\frac{2}{2+x}+\frac{1}{1+x}-x\right)^{2016}+1 \right] ^{-1}\mathrm{d}x$ 8 Is this a genuinely new proof of Wallis' Product? 6 Show that $\inf \{ \| f-P \|_{\infty}\mid P \in P_n \} \geq \delta_n$ for any decreasing sequence $\delta_n \to 0$ 6 How to evaluate $\sum_{n=1}^m 2^n \arctan 2^n \theta$ 5 Recurrence for $\int \left(\frac{\sin x}{x}\right)^n \, \mathrm{d}x$ [duplicate]

### Tags (158)

 386 calculus × 158 93 functions × 29 295 algebra-precalculus × 90 88 limits × 30 188 integration × 71 82 derivatives × 37 177 trigonometry × 61 78 sequences-and-series × 33 93 definite-integrals × 33 71 real-analysis × 36

### Accounts (5)

 Mathematics 15,731 rep 51949 Super User 1,650 rep 1917 Stack Overflow 310 rep 9 Physics 130 rep 5 Meta Stack Exchange 101 rep 1