Taylor Ted's user avatar
Taylor Ted's user avatar
Taylor Ted's user avatar
Taylor Ted
  • Member for 8 years, 11 months
  • Last seen more than 3 years ago
12 votes
6 answers
311 views

Find the summation $\frac{1}{1!}+\frac{1+2}{2!}+\frac{1+2+3}{3!}+ \cdots$

11 votes
3 answers
2k views

Real Analysis book with pictures and ideas of proofs [duplicate]

10 votes
3 answers
19k views

Any two bases of a finite dimensional vector space must have the same number of elements.

8 votes
4 answers
2k views

How to expand $(x_1 + x_2 + x_3 + x_4 + x_5 +\cdots+x_n)^{2}$

7 votes
1 answer
3k views

Using Newton's Divided Difference formula, prove that

7 votes
4 answers
33k views

Probability that on three rolls of dice, there will be at least one 6 showing up?

7 votes
3 answers
862 views

Need Suggestions for beginner who is in transition period from computational calculus to rigorous proofy Analysis

6 votes
3 answers
1k views

How do i visualize Cosets of a group

6 votes
8 answers
15k views

Show that if n+1 integers are choosen from set $\{1,2,3,...,2n\}$ ,then there are always two which differ by 1

6 votes
1 answer
853 views

To evaluate integral using Beta function - Which substitution should i use?

5 votes
2 answers
4k views

Confusion regarding $\log(x)$ and $\ln(x)$

5 votes
2 answers
641 views

Is there an easy way to compute the determinant of matrix with 1's on diagonal and a's on anti-diagonal?

5 votes
4 answers
209 views

To evaluate limit $\lim_{n \to \infty} (n+1)\int_0^1x^{n}f(x)dx$

5 votes
3 answers
5k views

Prove cyclic group with one generator can have atmost 2 elements

4 votes
3 answers
280 views

Let $a \leq x_{n} \leq b$ for all n in N. If $x_{n} \rightarrow x$. Then prove that $a \leq x \leq b$

4 votes
1 answer
402 views

Permuting the terms of a sequence does not affect its convergence

4 votes
1 answer
2k views

Group of all $2\times2$ matrices where $a$, $b$, $c$, and $d$ are integers modulo $p$, Herstein Q$26$ Page $37$ [duplicate]

4 votes
4 answers
3k views

show that out of all triangles inscribed in a circle the one with maximum area is equilateral

4 votes
4 answers
162 views

To compute improper integral $\int_3^{5}\frac{x^{2}\, dx}{\sqrt{x-3}{\sqrt{5-x}}}$

4 votes
3 answers
1k views

To find number of roots in interval $(1,2)$

4 votes
2 answers
93 views

To check convergence of series $\sum_{1}^{\infty}\frac{\ln(n)}{n(n+1)}$

3 votes
5 answers
123 views

To evaluate $\lim_{n \to \infty} \left(1+\frac{1}{2n}\right)^{n+5}$

3 votes
0 answers
55 views

Need a book on Algebra but having these properties for self study and beginner

3 votes
1 answer
168 views

Convergence of $\sum\sqrt{a_n}$ and $\sum\frac{a_1+\ldots+a_n}{n}$ when $\sum_{n=1}a_n,\ a_n>0$ is a convergent series

3 votes
2 answers
2k views

The initial value problem $y'=\sqrt {y}, \:\: y(0)=\alpha$.

3 votes
3 answers
614 views

Finding eigenvalues of an anti-diagonal matrix

3 votes
1 answer
171 views

What is intution behind sequential definition of continuity and its relation with ordinary definition of continuity

3 votes
3 answers
275 views

Prove that the sequence $a_n=\frac{1\cdot3\cdot5\cdots(2n-1)}{2\cdot4\cdot6\cdots(2n)}$ is monotonically decreasing sequence

3 votes
1 answer
139 views

How do i solve $\frac{dy}{dx}- \frac {dx}{dy}= \frac {x}{y}-\frac {y}{x}$?

3 votes
1 answer
236 views

Question regarding Odd and Even function $g(x)=f(x)(f(x)+f(-x))$

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