If $x + \frac{1}{x} = \sqrt{3}$, then find $x^{18}$
59175
Given that $x+\frac{1}{x}=\sqrt{3}$, find $x^{18}+x^{24}$
136297
Evaluate $\lim_{x \to 1} \frac{\sqrt[3]{x} -1}{\sqrt{x} -1}$
28502
How to solve $x^3=-1$?
112171
Proposition: $\sqrt{x + \sqrt{x + \sqrt{x + ...}}} = \frac{1 + \sqrt{1 + 4x}}{2}$.
11707
If $x\sqrt{1+y}+y\sqrt{1+x}=0$ find $y'$
133398
$g(x)=\sum_{n=0}^{\infty} \lceil {\frac{n+1}{2}} \rceil x^n$, find $g(\frac{1}{3})$
109899
Find $\,\lim_{x\to 1}\frac{\sqrt[n]{x}-1}{\sqrt[m]{x}-1}$
63750
let $f(\frac{x}{3})+f(\frac{2}{x})=\frac{4}{x^2}+\frac{x^2}{9}-2$ then find $f(x)$
57750
Solve identity: $\frac {\sin x}{1-\cos x} = \frac {1+\cos x}{\sin x}$
49052
Find $\sum_{n=1}^\infty \frac{n^3}{n!}$.
89265
Proving that $x - \frac{x^3}{3!} 0$
47325
Limit of quotients with square roots: $\lim_{x\to2} \frac{\sqrt{6-x}-2}{\sqrt{3-x}-1}$
55197
Roots of $ x^3-3x+1$
17707
Why is ${x^{\frac{1}{2}}}$ the same as $\sqrt x $?
3390
finding the real values of $x$ such that : $x=\sqrt{2+\sqrt{2-\sqrt{2+x}}}$
113250
If $x+{1\over x} = r $ then what is $x^3+{1\over x^3}$?
74570
Finding distribution of $\frac{X_1+X_2 X_3}{\sqrt{1+X_3^2}}$