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Sahiba Arora's user avatar
Sahiba Arora's user avatar
Sahiba Arora's user avatar
Sahiba Arora
  • Member for 8 years, 9 months
  • Last seen this week
14 votes

Let G be a group such that $|G| = pk$, where $p$ is a prime, $k < p$.

12 votes

Prove that $\pi^2/8 = 1 + 1/3^2 + 1/5^2 + 1/7^2 + \cdots$

10 votes

Infinite Primes proof with possible error

9 votes
Accepted

Prove if $f$ is increasing then $f'(x) \ge 0$

8 votes
Accepted

Prove Addition is Continuous (without epsilon-delta!)

7 votes
Accepted

Where is the lost root?

7 votes

On Equivalent Norms in an Infinite Dimensional Vector Space

7 votes
Accepted

Is this a good enough proof by induction?

6 votes

Prove $\frac1{x^4} < \frac1{x^3} - \frac1{(x+1)^3}$

6 votes

Why isn't the derivative of $a^x$ written as $xa^{x-1}$

6 votes
Accepted

If $A^2=\mathbb{I} (2\times 2$ identity) then $\mathbb{I} + A$ is invertible only if $A=\mathbb{I}$

6 votes

Is the zero matrix upper and lower triangular as well as diagonal?

6 votes
Accepted

If $(x_n)$ converges to a non-invertible element, then $\lim \| x_n^{-1} \| = \infty .$

5 votes

In $Z_2[i]$, why is $(1+i)(1+i) = 0$?

5 votes

Equivalence of limits?

5 votes

Does $x\neq y\Rightarrow |x|\neq |y|$?

5 votes

How do I prove that a non-abelian group would have at least $6$ elements?

5 votes
Accepted

Tricky integrable combination for ODE system

5 votes

Verifying that a group is abelian

5 votes
Accepted

The convergence of $(n\sin n)$

5 votes
Accepted

Prove $\lim_{x \to a} \cos{x} = \cos{a}$ using a $\varepsilon$-$\delta$ argument

5 votes
Accepted

Integral $\int _1^{\infty }\sin^2 \left(\frac{3}{x} \right)dx$

5 votes

Does $P \circ P =P$ and $\langle Px, y \rangle = \langle x, Py \rangle$ imply $P$ is linear?

5 votes

Every infinite subset of $E$ in $\mathbb R^k$ having a limit point in $E$ implies $E$ is closed

5 votes

How does one prove that $ABA^{−1} = B$ given that A is an invertible matrix?

4 votes
Accepted

Convergent sequence in complete metric space that is not Cauchy?

4 votes
Accepted

If $f$ is uniformly continuous on two open sets with a non-empty intersection, then $f$ is uniformly continuous on their union

4 votes
Accepted

Question About the Discrete Topology

4 votes

Spivak Calculus chapter 1 problem 13 proof critique

4 votes

Continuous function on a compact domain

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