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Category: Relation and Functions

Given-f-x-1-2-xe-1-x-x-0-0-x-0-find-i-Thd-domain-of-f-ii-check-the-continuity-of-f-at-x-0-iii-check-its-differentiability-and-its-sign-i-sketch-this-curve-and-fi

Question Number 101008 by Rio Michael last updated on 29/Jun/20 Givenf(x)={12xe1x,x00,x=0find(i)Thddomainoff(ii)checkthecontinuityoffatx=0(iii)checkitsdifferentiabilityanditssign$$\left({i}\right)\:\mathrm{sketch}\:\mathrm{this}\:\mathrm{curve}\:\mathrm{and}\:\mathrm{find}\:\underset{{x}\rightarrow−\infty} {\mathrm{lim}}\:{f}\left({x}\right)\:\mathrm{and}\:\underset{{x}\rightarrow+\infty} {\mathrm{lim}}\:{f}\left({x}\right) \

Question-100951

Question Number 100951 by bemath last updated on 29/Jun/20 Commented by Rasheed.Sindhi last updated on 29/Jun/20 Byjohnsantu(answerofYou can't use 'macro parameter character #' in math mode2x(1+2x+1)=(y1)(y+1)$${show}\:{that}\:{the}\:{factors}\:{y}−\mathrm{1}\:{and}\:{y}+\mathrm{1}…