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Learning
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16 votes
9 answers
1k views

When will a group be Abelian?

8 votes
3 answers
1k views

The number of subgroups of index two in $G$

7 votes
5 answers
238 views

Find $\lim_{x\to \infty} \left[f\!\left(\sqrt{\frac{2}{x}}\,\right)\right]^x$.

6 votes
3 answers
1k views

Find the rank of $T^2$

5 votes
2 answers
260 views

Find $\lim_{n\to \infty} \big[\frac{1}{1\cdot3}+\frac{1}{2\cdot5}+...+\frac{1}{n\cdot(2n+1)}\big]$ [duplicate]

4 votes
3 answers
436 views

Integral of rational function - which contour to use?

3 votes
2 answers
249 views

Find the value of $f\left(\frac{1}{4}\right)$.

2 votes
1 answer
491 views

Question on transition probability matrices

2 votes
1 answer
108 views

External product of two groups has no subgroup of index two

1 vote
1 answer
56 views

Find the infimum of the set $\{ \lambda: \lambda \in \mathbb{R}, x^2y''-3xy'-\lambda y =0, \lim_{x \to \infty } y(x)=0 \}$.

1 vote
1 answer
63 views

System of equations.

1 vote
1 answer
386 views

Number of monic polynomials

0 votes
1 answer
63 views

The limit points of the set $S$

0 votes
2 answers
358 views

Zero function is often a solution?

0 votes
1 answer
989 views

Determine the values of $x$ for which the given power series converges.

0 votes
1 answer
552 views

Let $S$ be a subset of $\mathbb{R}$ such that $2018$ is an interior point of $S$ . Which of the followinf is(are) true?

0 votes
3 answers
144 views

Find $\lim_{n\to \infty} (1-\frac{1}{2}+\frac{1}{3}-...-\frac{1}{2n})$

0 votes
2 answers
169 views

Initial value problem: $y''=y'+y$ with $y(0)=4$ and $y'(0)=7$. Find $y^{(5)}(0)$

0 votes
1 answer
47 views

The values of $\alpha \in [0,1)$ for which the infimum of the set $\{y(x): x\in \mathbb{R}\}\ge 1$.

0 votes
2 answers
64 views

Find the values of $\alpha \in \mathbb{R}$ such that $(1+\alpha)e^{x}+ (1-\alpha)e^{-x} \geq 1$ for all $x \in \mathbb{R}$.

0 votes
1 answer
229 views

A problem on Markov-chain CSIR-NET(JRF) Dec-$2011$

0 votes
1 answer
340 views

Question on Markov-Chain GATE (ST)-$2021$

0 votes
2 answers
101 views

Critical Gap(s) in Cayley's theorem [closed]

-1 votes
1 answer
807 views

Let $\mathbb{C^*}=\mathbb{C}- \{0\} $ denote the group of non-zero complex numbers under multiplication. [closed]

-1 votes
1 answer
61 views

Dimension of a subspace $W$ of $M_{4\times 4}(\mathbb{C})$

-3 votes
2 answers
49 views

Show that $3$ divides $p-2$ if and only if $3$ divides $p+1$, where $p$ ia a prime different from $3$..