### Questions (49)

 10 How to solve this limit: $\lim_{x\to\infty}\sqrt{x+\sqrt{x}}-\sqrt{x-1}$ [duplicate] 7 Double Integral $\int\limits_0^a\int\limits_0^a\frac{dx\,dy}{(x^2+y^2+a^2)^\frac32}$ 7 how to compute this limit 6 Computing a derivative from a function that involves an integral 5 Closed form of $\int_{0}^{1}\frac{dx}{(x^2+a^2)\sqrt{x^2+b^2}}$

### Reputation (2,134)

This user has no recent positive reputation changes

### Answers (44)

 8 What is the limit of $\lim\limits_{x→∞}\frac{\sin x}{x}$ 5 Why is $\pi$ a solution to $\tan^2x \cos{x}=\tan^2x$? 5 How to integrate $1/\sqrt{(1+x^2)^3}$? 5 Find $\lim_{x\to 0} \frac{\arcsin x}{x}$ 4 How would I prove $\frac{1}z=\operatorname{cis}(-\theta)$ given $z=\operatorname{cis}(\theta)$?

### Tags (69)

 29 calculus × 37 7 derivatives × 8 22 integration × 18 7 indefinite-integrals × 5 21 trigonometry × 9 7 polar-coordinates × 2 16 limits × 12 5 complex-numbers × 6 11 algebra-precalculus × 7 5 radicals × 4

### Bookmarks (903)

 1403 Visually stunning math concepts which are easy to explain 923 Can I use my powers for good? [closed] 346 Zero to the zero power – is $0^0=1$? 161 Why is $1^{\infty}$ considered to be an indeterminate form 107 In calculus, which questions can the naive ask that the learned cannot answer?

### Accounts (6)

 Mathematics 2,134 rep 11 gold badge1313 silver badges2424 bronze badges Stack Overflow em Português 161 rep 11 silver badge77 bronze badges Stack Overflow 121 rep 44 bronze badges MathOverflow 105 rep 33 bronze badges Anime & Manga 101 rep 22 bronze badges

### Badges (27)

 Notable Question Constituent × 3 Popular Question × 2 Caucus × 3 Yearling × 6 Nice Question Custodian × 2 Tumbleweed Inquisitive Cleanup

### Active bounties (0)

This user has no active bounties

### Votes cast (5,182)

all time   by type
5,179 up 1,799 question
3 down 3,383 answer