f(x)=(1/2)^x, x=1,2,3,4, ...find the mean
28254
Why $\sum_{k=1}^{\infty} \frac{k}{2^k} = 2$?
25775
How to prove $(1+1/x)^x$ is increasing when $x>0$?
109959
Calculate mean of ordinal variable
156778
Finding functions satisfying $f(f(x))+f(x)+x=0$
52858
Find $f$ if $ f(x)+f\left(\frac{1}{1-x}\right)=x $
55784
Question on Application of Mean Value Theorem
124629
If $f(x) = \frac{4^x}{4^x+2},$ find the value of $\sum \limits_{i=1}^{1999} f\left(\frac{i}{1999}\right) $
81055
Functional Equation simple problem
76458
Solve the following functional equation $f(xf(y))+f(yf(x))=2xy$
74100
How do you solve $f'(x) = f(f(x))$?
142494
Functions $f(x)/g(x), g(x)/h(x),h(x)/f(x)$ are constant
142682
Find $f(x)$ where $ f(x)+f\left(\frac{1-x}x\right)=x$
129902
If $f(x)=x+\int_{0}^{1}[xy^2+x^2y]f(y)dy$ where $x$ and$y$ are independent variable.Find $f(x).$
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$
128456
Evaluating $\lim_{x\to0}\left(\frac{1+x2^x}{1+x3^x}\right)^\frac1{x^2}$
48652
Solve the functional equation $2f(x)=f(ax)$ for some $a$.
82597
How to find $ f(x)$ if $f(1-f(x))=x$ for all $x$ $\in \mathbb{R}$