Mathematics
Amine Marzouki's user avatar
Amine Marzouki's user avatar
Amine Marzouki's user avatar
Amine Marzouki
  • Member for 8 years, 2 months
  • Last seen more than 2 years ago
Profile Activity

13 Questions

Score Activity Newest Views
4 votes
4 answers
446 views

Solve the limit $\lim _{x\to \infty \:}\left(\frac{\left(\left(2x\right)!\right)}{x^xx!}\right)^{\frac{1}{x}}$

3 votes
2 answers
254 views

How do I solve this limit $\lim _{x\to \infty \:}\left(x\left(\sqrt{x^2+1}-\sqrt[3]{x^3+1}\right)\right)$?

2 votes
2 answers
607 views

How can we solve this limit: $\lim _{x\to \infty \:}\left(\frac{\tan\left(x\right)}{x}\right)$?

1 vote
2 answers
125 views

Why is this limit: $\lim _{x\to -1+}\frac{\left(-\frac{2}{\pi }x^2\arctan \left(\frac{1}{x+1}\right)+1\right)}{x+1}$ equals to $2+\frac{2}{\pi}$?

1 vote
4 answers
3k views

How to solve $\lim _{x\to \infty \:}\left(\sqrt{x+\sqrt{1+\sqrt{x}}}-\sqrt{x}\right)$ Solved

0 votes
2 answers
110 views

How do I solve this limit without l"Hopital?

0 votes
1 answer
82 views

Solve in $\mathbb{C}$ the equation $z^2-(1+m)(1+i)z+i(m^2+1)=0$

0 votes
3 answers
103 views

Prove that $\forall n\in \mathbb{N},\:\left[n+\left(-1\right)^n\right]\in \mathbb{N}$ [closed]

0 votes
2 answers
48 views

What is the limit of $\sum _{k=0}^n\:\frac{\exp\left(-k\right)}{2^k}$ when $n->\infty $?

0 votes
1 answer
297 views

How many pairs of sets that have no element in common?

0 votes
3 answers
1k views

How to solve this limit $\lim _{x\to 1}\left(\frac{\ln \left(\left|x-2\right|\right)}{\ln \left(x\right)}\right)$?

0 votes
1 answer
187 views

What is the primitive function of $xe^{x^2+2x}$?

0 votes
1 answer
569 views

Is there any effective way to solve cubic equation?

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