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Mauricio Mendes's user avatar
Mauricio Mendes's user avatar
Mauricio Mendes's user avatar
Mauricio Mendes
  • Member for 5 years, 11 months
  • Last seen more than 2 years ago
3 votes
4 answers
268 views

Show that the equation $2x^4-9x^2+4 = 0$ has at least one solution in $(0,1)$

3 votes
2 answers
778 views

Evaluating $\int \cot x \csc^2x \,\mathrm{d}x$ with $u=\cot x$

3 votes
3 answers
2k views

Find the area enclosed by the lines

3 votes
1 answer
90 views

Evaluating $\lim_{x\to+\infty} \frac{\sqrt{x}\cos{x}+2x^2\sin\left({\frac{1}{x}}\right)}{x-\sqrt{1+x^2}}$

3 votes
1 answer
77 views

Evaluate $\lim_{x\to 0} \frac{f(x^3)}{x}$

2 votes
3 answers
630 views

Prove that if $p_1,...,p_k$ are distinct prime numbers, then $\sqrt{p_1p_2...p_k}$ is irrational

2 votes
1 answer
906 views

Suppose $f(x)=xg(x)$, where $g$ is a continuous at $x_0=0$. Then $f$ is differentiable at $x_0=0$.

2 votes
2 answers
49 views

Calculate $\lim_{x \to 0} f(x)$

2 votes
2 answers
105 views

Show that every simple graph satisfies $m\geq n-k$

2 votes
2 answers
3k views

Finding the subspace generated by set of vectors

2 votes
3 answers
1k views

Finding the dimension of subspace $S=\{ \left[\begin{smallmatrix} a & b\\ c & d\\ \end{smallmatrix}\right] \mid c = a + b, d=a \}.$

1 vote
4 answers
136 views

Is $\lim_{x\to -\infty} \frac{5x+9}{3x+2-\sqrt{4x^2-7}}=1$?

1 vote
2 answers
42 views

Finding a closed form solution for recurrence

1 vote
3 answers
65 views

Area between the curve $y$, the $x$-axis and the lines

1 vote
2 answers
121 views

$\lim_{x \to +\infty} f(x)g(x) = +\infty$. True or false?

1 vote
5 answers
182 views

Evaluate $\lim\limits_{x \to 1} \left( \frac{1}{x-1}-\frac{3}{1-x^3} \right)$

1 vote
1 answer
53 views

Evaluate $\lim_{x \to 1^+} \frac{\sin{(x^3-1)}\cos(\frac{1}{1-x})}{\sqrt{x-1}}$

1 vote
4 answers
66 views

Evaluating $\lim_{x\to+\infty} \frac{x}{\sqrt{x+1}}$

1 vote
4 answers
134 views

Evaluate $\lim_{x\to+\infty} \frac{x-\sin{x}}{x+\sin{x}}$

1 vote
1 answer
106 views

Evaluate $\lim_{x\to+\infty} \frac{3x^3+x\cos{\sqrt{x}}}{x^4\sin{\frac{1}{x}}+1}$

1 vote
1 answer
43 views

Is this proof about homogeneous functions valid?

1 vote
1 answer
61 views

If $f\cdot g$ is differentiable at $x_0$, what conditions on $f$ guarantee the differentiability of $g$ at $x_0$?

0 votes
3 answers
100 views

Evaluate $\lim_{x \to 1} \frac{\sin(3x^2-5x+2)}{x^2+x-2}$

0 votes
2 answers
81 views

Evaluating $\lim_{x \to 0} \frac{\sin^3(x)\sin(\frac{1}{x})}{x^2}$

0 votes
1 answer
119 views

Evaluate $\lim_{x\to+\infty} \frac{\sqrt{x}(\sin{x}+\sqrt{x}\cos{x})}{x\sqrt{x}-\sin({x\sqrt{x})}}$

0 votes
3 answers
2k views

Find the horizontal line which divides the enclosed area between curves

0 votes
2 answers
58 views

Understanding the concept of basis [closed]

0 votes
1 answer
1k views

What is the angle between the direction of $A$ and the positive direction of x?

0 votes
1 answer
68 views

Determine a rational number $r$ such that $0\lt \sqrt2 - r \lt 10^{-5}$

0 votes
1 answer
1k views

Proving recurrence relation by mathematical induction