Mathematics
Kshitij Kumar's user avatar
Kshitij Kumar's user avatar
Kshitij Kumar's user avatar
Kshitij Kumar
  • Member for 2 years, 8 months
  • Last seen this week
  • India
Profile Activity

17 Questions

Score Activity Newest Views
7 votes
3 answers
161 views

To prove $1^1\cdot2^2\cdot 3^3...\cdot n^n<(\frac{2n+1}{3})^{\frac{n(n+1)}{2}} $

4 votes
2 answers
66 views

Proving each subsequent term equal to one another in an equation

3 votes
0 answers
120 views

Possible proof of Leibniz Theorem

3 votes
0 answers
105 views

How to find $f(x)$, if $f(x)+f(1/x)=f(x)f(1/x)$? [duplicate]

3 votes
2 answers
80 views

Difficulty in evaluating $\lim_{t\to x}\frac{t^2f(x)-x^2f(t)}{t-x}$

2 votes
2 answers
95 views

Evaluating this definite integral

1 vote
3 answers
51 views

Testing differentiability of $f(x)=a\cos(|x^3-x|)+b|x|\sin(|x^3+x|)$

1 vote
2 answers
42 views

Number of solutions of the equation $z^p=(\overline{z})^q$

1 vote
1 answer
51 views

Two variable definite integral

1 vote
1 answer
40 views

Need help in tackling $1^\infty$ form in limits [duplicate]

1 vote
0 answers
84 views

How to prove rigourously that $f(x)=2x^3-15x^2+36x+1$ is surjective

1 vote
2 answers
183 views

Doubt regarding one-one onto function

0 votes
2 answers
72 views

Two definite integrals in terms of one another

0 votes
1 answer
60 views

Getting wrong results in evaluating $\text{lim}_{x\to 0} \frac{\sin(\pi \cos^2x)}{x^2}$

0 votes
0 answers
27 views

Building a matrix $[a_{ij}]_{3\times 3}$ where $a_{ij}\in{0,1}\,\,1\leq i,j \leq3$

0 votes
1 answer
46 views

Solving a difficult Piecewise integration

0 votes
0 answers
29 views

Thrice Differentiable function problem

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