Skip to main content
Adhvaitha's user avatar
Adhvaitha's user avatar
Adhvaitha's user avatar
Adhvaitha
  • Member for 9 years, 7 months
  • Last seen more than 9 years ago
42 votes

How to know if a term is divisible by 10

21 votes

Infinite Series $\sum 1/(n(n+1))$

11 votes
Accepted

Say $f : \mathbb{R} \to \mathbb{R}$ is continuous and $f(x) \to 0$ as $x \to \pm\infty$. Show $f$ is uniformly continuous.

11 votes

Circle radius as variable

11 votes
Accepted

Square root of a divergent series diverges.

10 votes

"Honest" introductory real analysis book

9 votes

Evaluate $\int_0^1 \frac{x^k-1}{\ln x}dx $ using high school techniques

9 votes

Covergence test of $\sum_{n\geq 1}{\frac{|\sin n|}{n}}$

9 votes

Just How Strong is Associativity?

8 votes

Find $\lim _{n\to \infty }\left(\frac{1}{n^2+1}+\frac{1}{n^2+2}+...+\frac{1}{n^2+n}\right)$

8 votes
Accepted

Can product of two singular matrices be invertible?

8 votes

How many even 3 digit numbers contain at least one 7.

8 votes

Evaluate $\int_0^{\infty} \frac{\log x }{(x-1)\sqrt{x}}dx$ (solution verification)

8 votes

Evaluating $\int_0^1 x \tan(\pi x) \log(\sin(\pi x))dx$

8 votes
Accepted

$\frac{1}{x^2} \int xe^x dx$ without using integration by parts

8 votes

Evaluate $\int_{0}^{\frac{\pi}{2}} \frac{\sin^2 nx}{\sin x} \text{d}x$

7 votes
Accepted

Proof if $AB+BA=0$ Then atleast one of the matrices are singular.

7 votes
Accepted

Is there a clean way to derive the gradient of $x^TAx$? i.e. $\nabla_xx^TAx$?

7 votes
Accepted

can have solution of $x^4-3x^3+2x^2-3x+1=0$ using only high school methods

7 votes

Proof using exhaustion $n^4 - 1$ is divisible by $5$ where $n$ is not divisible by $5$.

6 votes
Accepted

evaluate $\lim(1+3x)^{(1/2x)}$.

6 votes
Accepted

Trigonometric substitution in the integral $\int x^2 (1-x^2)^{\frac{9}{2}} \ \mathrm dx$

6 votes
Accepted

If $\sum{a_n}$ converges then does $\sum{(a_n)^2}$ converge where $a_n \ge 0$ for all $n$

6 votes
Accepted

Proof that $ \forall x,y \in \mathbb{R} \qquad x^2+y^2+(x-1)(y-1)>0 $

6 votes

How to prove $n < \left(1+\frac{1}{\sqrt{n}}\right)^n$

6 votes

If $a+1/a$ is an integer, then so is $a^t+1/a^t$ for $t\in\mathbb N$

6 votes

show that if $2^n -1$ is prime than n is also prime

6 votes
Accepted

prove $\sum \frac{x^n}{1+x^{2n}}$ converges

5 votes

Find $\lim\limits_{x \to \infty}{e^{-x}\sqrt{x}}$

5 votes
Accepted

$x^2$ $\equiv$ $1$ $\mod{p}$

1
2 3 4 5 6