Category: Relation and Functions

Question Number 66032 by mathmax by abdo last updated on 07/Aug/19 $$simplify{w}_n={(1+in)}^n-{(1-in)}^{n}withnintegrnatural$$ Commented by mr W last updated on 08/Aug/19…

Question Number 431 by 123456 last updated on 25/Jan/15 $$\mathrm{given}$$$$x_{n+1}=\frac{1}{3-x_n}$$$$x_0=2$$$$\mathrm{proof}\mathrm{that}$$$$\mathrm{a}.0<x_n⩽2,n\in \mathbb{N}$$$$\mathrm{b}.{x}_{{n}} \:\mathrm{is}\:\mathrm{decreasing}…