user avatar
user avatar
user avatar
Ahaan S. Rungta
  • Member for 9 years, 1 month
  • Last seen more than a month ago
20 votes

Why rationalize the denominator?

17 votes
Accepted

Show that $\sqrt{2+\sqrt{2+\sqrt{2...}}}$ converges to 2

16 votes

Why does the series $\sum_{n=1}^\infty\frac1n$ not converge?

13 votes

Evaluating $\int\frac{\sqrt{x^2-1}}x\mathrm dx$

12 votes
Accepted

Did I take the derivative correctly? $x^y=y^x$

12 votes
Accepted

Find zeros of function $f(x)$

10 votes
Accepted

Integral of $x(1-x^2)^n$

10 votes

Is it possible to define $\lceil x\rceil$ in terms of $\lfloor\ldots\rfloor$?

10 votes
Accepted

How to simplify expression with exponents?

10 votes

How to evaluate $ \int \sec^3x \, \mathrm{d}x$?

9 votes

Why is $2^n$ the maximum number of subsets of a set of size $n$?

9 votes

Do non-square matrices have eigenvalues?

7 votes
Accepted

Parametric Equations: Find $\frac{\mathrm d^2y}{\mathrm dx^2}$.

7 votes
Accepted

Given $f(x)$ and $g(x)$, find $(fg)(x)$

6 votes

The sum of the $n$ smallest odd numbers is equal to $n^2$

6 votes
Accepted

What is difference between ≈ and ~?

5 votes
Accepted

How to evaluate $\lim\limits_{n\rightarrow \infty} \sin (1/n)$?

5 votes

Beautiful, simple proofs worthy of writing on this beautiful glass door

5 votes
Accepted

Squarefree binomial coefficients.

5 votes

What is $\frac{d(\arctan(x))}{dx}$?

5 votes
Accepted

2014 Fall OMO #28

5 votes
Accepted

Evaluate $ \lim\limits_{x\to 1} \frac{(\ln x)^2}{1-x} $

5 votes
Accepted

Finding $ \int_0^1 \frac {\ln x}{1+x^2}\mathrm dx $

4 votes

Equality of mixed partial derivatives

4 votes
Accepted

Continued fraction to irrational number

4 votes
Accepted

$ \int_{ABC} f = \int_{CDA} f $

4 votes

Solve $\sin2x +\sin x = 0$ algebraically

4 votes

FoxTrot Bill Amend Problems

4 votes
Accepted

Prove by mathematical induction: $n < 2^n$

4 votes

Why do we write complex numbers as $e^{i \theta} $?

1
2 3 4 5
7