Range of f(x) = $\frac{\sqrt3\,\sin x}{2 + \cos x}$
88432
A problem on range of a trigonometric function: what is the range of $\frac{\sqrt{3}\sin x}{2+\cos x}$?
112778
Let $f(x) = x^3-\frac{3}{2}x^2+x+\frac{1}{4}.$ Then the value of $ \int^{3/4}_{1/4}f(f(x))\mathrm dx$
60456
Find the power series of $f(x)=\frac{1}{x^2+x+1}$
48252
Range of function Involving Modulus Quantity.
83080
Question regarding $f(n)=\cot^2\left(\frac\pi n\right)+\cot^2\left(\frac{2\pi}n\right)+\cdots+\cot^2\left(\frac{(n-1)\pi}n\right)$
98255
Find $f(x)$ such that $f(f(x)) = x^2 - 2$
138164
If the range of $f(x)= \frac{x^2+x+c}{x^2+2x+c}, x\in \mathbb R$ is $\left[\frac 56, \frac 32\right]$ then what is $c$?
127558
If $f(x)=x-\int^{\frac{\pi}{2}}_0f(x)\sin(x)dx$ find the explicit function for $f(x)$ in its simplest form
144859
Finding parameters for $f(x) = x^2 + 2(m − a)x + 3am −2 = 0$ that satisfy a condition.
4178
Solve $f(x)f(2x^2) = f(2x^3+x)$
144773
function $f(x)=x^{-(1/3)}$ , please check whether my solution is correct?
98392
Value of the limit $\lim_{x \to 0} \frac{\sin(\frac{1}{x})}{\sin(\frac{1}{x})}$
138583
What is the limit of $\lim\limits_{x→∞}\frac{\sin x}{x}$
73881
A question on numerical range
100893
Determine $\lim_{x \to 0}{\frac{x-\sin{x}}{x^3}}=\frac{1}{6}$, without L'Hospital or Taylor
82365
what should be the range of $u$ satisfying following equation.
72278
What is the value of $\frac{\sin x}x$ at $x=0$?