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Utkarsh Verma's user avatar
Utkarsh Verma's user avatar
Utkarsh Verma's user avatar
Utkarsh Verma
  • Member for 6 years
  • Last seen more than a month ago
  • GitHub
  • Allahabad, Uttar Pradesh, India
4 votes
1 answer
433 views

Differentiability of $f(x)={x^2\sin{(\dfrac{1}{x})}}$ at $x=0$ [duplicate]

4 votes
2 answers
186 views

How to correctly find the value of theta for which $\frac{a}{\cos\theta}+\frac{b}{\sin\theta}$ is minimum?

4 votes
4 answers
2k views

Is my analysis of the series $\sum_{n=1}^\infty{\frac{\ln n}{n}}$ correct?

3 votes
3 answers
143 views

Evaluating $\lim_{x\to \infty}\Biggl(\dfrac{(x+1)^x}{x^x\cdot\mathcal{e}}\Biggr)^x$

3 votes
1 answer
5k views

What does this determinant to test concurrency of three lines mean?

3 votes
1 answer
104 views

Understanding $\int_0^\pi{\frac{dx}{a^2\sin^2x+b^2\cos^2x}}$

3 votes
4 answers
75 views

Why is $|x|$ defined as $\sqrt{x^2}$ instead of $(\sqrt{x})^2$?

2 votes
1 answer
111 views

Evaluating $\lim_{n\to \infty}\sum_{i=1}^n \frac{1}{(i+1)(i+2)}$ through Riemann sum

2 votes
2 answers
300 views

Evaluating laplace transform of {x}

1 vote
1 answer
82 views

How to evaluate $\lim_{n\to\infty}k^{\frac{1}{n}}$ using the Sandwich theorem?

1 vote
1 answer
127 views

Intuition behind higher derivatives [duplicate]

1 vote
1 answer
48 views

How many ways to get the terms of sequence 1-100 sum up to 9?

1 vote
0 answers
55 views

What does the determinant form of triangle area imply "transformation-wise"?

0 votes
1 answer
221 views

How to integrate $\int{e^{\sin x}(\frac{x\cos^2{x}-\sin{x}}{\cos^2{x}}) dx}$

0 votes
1 answer
100 views

How to integrate $-\int_{-\pi/2}^{\pi/2}{\frac{\sin x}{1+e^x}dx}$?