# Two Interesting Math Problems

Problem1: Smallest Autobiographical Number: A number with ten digits or less is called…

Problem1: Smallest Autobiographical Number: A number with ten digits or less is called…

Four friends Matt, James, Ian and Barry, who all knew each other from…

Statement A series $ \sum {u_n}$ of positive terms is convergent if from…

Prove that $ {(x+y)}^n-x^n-y^n$ is divisible by $ xy(x+y) \times (x^2+xy+y^2)$ if $…

Learning how to solve problems in mathematics is simply to know what to…

Puzzle Two women were selling marbles in the market place — one at…

We all know that the derivative of $x^2$ is 2x. But what if someone proves it to be just x?

Consider a sequence of functions as follows:- $ f_1 (x) = \sqrt {1+\sqrt…