Category: Relation and Functions

Question Number 7317 by lakshaysethi last updated on 24/Aug/16 $$Provethat\left[\frac{n+1}{2}\right]+\left[\frac{n+2}{4}\right]+\left[\frac{n+4}{8}\right]+\left[\frac{n+8}{16}\right]+\dots \dots ..=n.$$$$Suchthat[.]denotesgreatestintegerfunctionandn\in N.$$ Commented by FilupSmith last updated on 23/Aug/16 $${S}=\underset{{t}=\mathrm{1}} {\overset{\infty} {\sum}}\lceil\frac{{n}+\mathrm{2}^{{t}−\mathrm{1}} }{\mathrm{2}^{{t}}…

Question Number 6877 by sarathon last updated on 01/Aug/16 $$\mathrm{the}\mathrm{bottom}\left(\frac{1}{2}\right)\mathrm{of}{log}_{\frac{1}{2}}x\mathrm{wants}\mathrm{to}\mathrm{make}2$$$$2\mathrm{how}??$$$$$$ Commented by Tawakalitu. last updated on 01/Aug/16 $${log}_{\frac{\mathrm{1}}{\mathrm{2}}}…

Question Number 72393 by mathmax by abdo last updated on 28/Oct/19 $$letf\left(x\right)=cos\left(narccosx\right)$$$$1)calculate{f}^{\left(n\right)}\left(x\right)and{f}^{\left(n\right)}\left(0\right)$$$$2)developpfatintegrserie$$ Terms of Service Privacy Policy…

Question Number 137817 by bramlexs22 last updated on 07/Apr/21 $$Letf\left(x\right)=x^2-2x-3;x⩾1\mathrm{\&}$$$$g\left(x\right)=1+\sqrt{x+4};x⩾-4then$$$$thenumberofrealsolutions$$$$ofequationf\left(x\right)=g\left(x\right)is\dots$$ Answered by MJS_new last updated on…

Question Number 72026 by mathmax by abdo last updated on 23/Oct/19 $$provethat{x}^{4}divide{(1+x^2)}^n-{nx}^2-1withoutusebinomial$$$$formula.$$ Commented by mathmax by abdo…