Cesare's user avatar
Cesare's user avatar
Cesare's user avatar
Cesare
  • Member for 9 years, 1 month
  • Last seen more than a month ago
5 votes
4 answers
136 views

Evaluate $f(x)=x\log{\left|\frac{x+2}{3-x}\right|}$ for $x\rightarrow\infty$

4 votes
4 answers
91 views

Solve $(2x-3)(2^x-4)+(x^2-3x+2)(2^x\cdot\log2)=0$

4 votes
3 answers
324 views

Find the oblique asymptote of $\sqrt{x^2+3x}$ for $x\rightarrow-\infty$

4 votes
2 answers
97 views

Find limit $x\rightarrow0$ of $f(x)=x^2\cdot\left({\sin{\frac 1 x}}\right)^2$

4 votes
4 answers
151 views

Evaluate $\lim_{x\rightarrow -\infty}{e^{\frac {1}{2-x}}\cdot\frac{x^2+2x-1}{x-2}}-x$

4 votes
3 answers
1k views

Verify the following identities

4 votes
10 answers
359 views

Factor $6x^2​ −7x−5=0$

4 votes
4 answers
858 views

Trigonometric inequality

3 votes
3 answers
650 views

Solving a trigonometric equation

3 votes
2 answers
94 views

Find absolute convergence of $\sum_{n=1}^{\infty}\left[{\frac{\sin{\frac 1 n}+\cos{\left({n\pi}\right)}}{n}}\right]$

3 votes
4 answers
170 views

Conclusions about derivability of a function $f(x)=x\left|{\log{x}}\right|$

2 votes
2 answers
97 views

Evaluate $\lim_{x\rightarrow1}{\frac{1+\log{x}-e^{x-1}}{(x-1)^2}}$ using use L'Hospital's rule

2 votes
1 answer
109 views

Find points of discontinuity of $\log\left|{\frac{x+2}{x+3}}\right|$

2 votes
2 answers
201 views

Evaluate $\lim_{x\rightarrow0^+}{-x\log{x}}$

2 votes
3 answers
137 views

Does $\left|\log^2{x}\right|=\log^2x$ hold true?

2 votes
2 answers
94 views

Find points of discontinuity of $x(x-1)^{2/3}e^{\sqrt[3]{x}}$

2 votes
4 answers
136 views

Evaluate $\lim_{x\rightarrow\frac{\pi}{2}^\pm}{\log{\left({\frac{1}{\cos^4x}}\right)}-\tan^2{x}}$

2 votes
3 answers
76 views

Evaluate $\lim_{t\rightarrow+\infty}{\left(1+\frac{1}{2+t}\right)\left({\frac{t^2-2t-1}{-t-2}}\right)+t}$

2 votes
3 answers
175 views

Evaluate $\lim_{x\rightarrow0}{\frac{(x-\arctan(x))\ln(1+2\sin(x))}{(1+\cos{x})(e^x-1-x)^2}}$ using Taylor

2 votes
1 answer
86 views

Find out if $\sum_{n=2}^{\infty}{(3-x^2)^n}$ diverges or converges

2 votes
1 answer
59 views

Find solutions of $2x^3\ge 1-6x^2$

2 votes
3 answers
76 views

Find x so that $\sum^{\infty}_{n=1}{\frac{1}{(x-1)^n\sqrt{n+5}}}$ converges

2 votes
1 answer
246 views

Find projection of vector $v$ on $w$

2 votes
4 answers
522 views

Verify this identity: $\sin6\alpha + \sin2\alpha = \frac{\cos^22\alpha-\cos2\alpha\cos6\alpha}{\sin2\alpha}$

2 votes
4 answers
1k views

Let $a = \frac{9+\sqrt{45}}{2}$. Find $\frac{1}{a}$

2 votes
2 answers
209 views

Evaluate $\lim_{x\rightarrow0^+}\frac{\log{x}}{e^{1/x}}$

2 votes
7 answers
115 views

Evaluate $\lim_{x\rightarrow0}\frac{e^x-e^{-x}}{e^x-1}$

2 votes
4 answers
2k views

2x2 Matrix Inverse Question

2 votes
1 answer
62 views

Graphing $x^3+y^3\le 29$

1 vote
0 answers
109 views

Basis of image of null matrix