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E. Joseph's user avatar
E. Joseph's user avatar
E. Joseph's user avatar
E. Joseph
  • Member for 8 years, 6 months
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42 votes
Accepted

Is there a meaningful example of probability of $\frac1\pi$?

26 votes

Limit Notation: $ \lim_{x \to \infty} f(x) =\infty $ or $ \lim_{x \to \infty} f(x) \rightarrow \infty$?

19 votes
Accepted

Which of these is the correct statement of Wilson's theorem?

18 votes
Accepted

Is it possible to swap sums like that?

15 votes
Accepted

How to prove polynomials with degree $n$ does not form a vector space?

14 votes

"The following are equivalent"

14 votes

square root in algebra

14 votes
Accepted

Strictly speaking, is it true that $\zeta(-1)\ne1+2+3+\cdots$?

13 votes
Accepted

True or False : There exists a continuous map $f:[0,1] \to SL_2(\Bbb R)$ which is surjective. (NBHM 2017 exam India)

13 votes

what operation repeated $n$ times results in the addition operator?

13 votes
Accepted

Proving that $\pi$ and $e$ are rational numbers

11 votes

construct a square without a ruler

10 votes

If $a,b \in \mathbb{C}$ are transcendental over $\mathbb{Q}$ then is $a^b$ necessarily transcendental over $\mathbb{Q}$?

9 votes

Is the domain of a function necessarily the same as that of its derivative?

9 votes
Accepted

Subgroups of $(\mathbb R, +)$ are either dense or cyclic.

8 votes
Accepted

Does one always have $f_{xy}=f_{yx}$?

8 votes

Intersection of infinite sets is infinite?

7 votes
Accepted

Does there exist a continuous f ,integration of $\int_{0}^{1} x^n f(x)= 1$ for all $n$

7 votes

Showing that linear subset is not a subspace of the Vector space $V$

6 votes
Accepted

The set of $n \times n$ matrices having trace equal to zero is a subspace of $M_{n \times n} \left(F\right)$

6 votes

Is there a quick proof as to why the vector space of $\mathbb{R}$ over $\mathbb{Q}$ is infinite-dimensional?

6 votes

Why is $-\log(x)$ integrable over the interval $[0, 1]$ but $\frac{1}{x}$ not integrable?

6 votes
Accepted

Limit of $ \frac{e^k k!}{k^k} $

6 votes
Accepted

Complex limit of an exponential.

6 votes

If $(a_n)$ is any real sequence , then $(\frac{a_n}{1+|a_n|})$ has a convergent subsequence

6 votes
Accepted

Can a continuous function take finite and infinite values?

5 votes
Accepted

Converge or Diverge $\int\limits_1^\infty \frac1{\sqrt{x^{3} +1}}dx$

5 votes

Convergent or Divergent Sequence: $n^3\sin\left(\frac{5}{n^3}\right)$

5 votes
Accepted

What is $\lim_{x\to0}\frac0{x^2}$?

5 votes

What's wrong with my simplification of these exponentials?

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