Question Number 136258 by EDWIN88 last updated on 20/Mar/21 $$\underset{{x}\rightarrow\mathrm{2a}} {\mathrm{lim}}\:\frac{\sqrt{\mathrm{x}−\mathrm{2a}}\:+\:\sqrt{\mathrm{x}}\:−\sqrt{\mathrm{2a}}}{\:\sqrt{\mathrm{x}^{\mathrm{2}} −\mathrm{4a}^{\mathrm{2}} }}\:=?\:\mathrm{where}\:\mathrm{a}>\mathrm{0} \\ $$ Answered by liberty last updated on 20/Mar/21 $$\:{L}'{H}\ddot {{o}pital}\: \\…
Question Number 70718 by oyemi kemewari last updated on 07/Oct/19 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{tan}^{−\mathrm{1}} \mathrm{x}}{\mathrm{1}+\mathrm{x}}\mathrm{dx} \\ $$ Commented by mathmax by abdo last updated on 07/Oct/19…
Question Number 70719 by oyemi kemewari last updated on 07/Oct/19 $$\int\mathrm{sin}\:\left(\mathrm{101x}\right)\mathrm{sin}\:^{\mathrm{99}} \mathrm{x}\:\mathrm{dx} \\ $$ Answered by mind is power last updated on 07/Oct/19 $${sin}\left(\mathrm{101}{x}\right)={sin}\left(\mathrm{100}{x}\right){cos}\left({x}\right)+{sin}\left({x}\right){cos}\left(\mathrm{100}{x}\right) \\…
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Question Number 70713 by oyemi kemewari last updated on 07/Oct/19 $$\mathrm{can}\:\mathrm{i}\:\mathrm{login}\:\mathrm{to}\:\mathrm{my}\:\mathrm{account}\: \\ $$$$\mathrm{with}\:\mathrm{other}\:\mathrm{phone}?\:\mathrm{if}\:\mathrm{so}\:\mathrm{how} \\ $$ Commented by Tinku Tara last updated on 07/Oct/19 Set password and use that to login from a different phone Terms…
Question Number 70710 by oyemi kemewari last updated on 07/Oct/19 $$\mathrm{pleace}\:\mathrm{how}\:\mathrm{can}\:\mathrm{link}\:\mathrm{this}\: \\ $$$$\mathrm{app}\:\mathrm{to}\:\mathrm{my}\:\mathrm{telegram} \\ $$ Answered by $@ty@m123 last updated on 07/Oct/19 $${Sorry}. \\ $$$${There}\:{is}\:{no}\:{way}\:{to}\:{link}\:{any}\:{app}\:{to}\:…
Question Number 5171 by FilupSmith last updated on 25/Apr/16 $$\mathrm{Can}\:\mathrm{you}\:\mathrm{show}\:\mathrm{why}: \\ $$$$\left({a}\right)\:\:\:\:\:\frac{{d}}{{dx}}\left(\mathrm{sin}\:{x}\right)=\mathrm{cos}\:{x} \\ $$$$\left({b}\right)\:\:\:\:\:\frac{{d}}{{dx}}\left(\mathrm{cos}\:{x}\right)=−\mathrm{sin}\:{x} \\ $$ Commented by FilupSmith last updated on 25/Apr/16 $${f}\:'\left({x}\right)=\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{{f}\left({x}+{h}\right)−{f}\left({x}\right)}{{h}}…
Question Number 136243 by Khalmohmmad last updated on 19/Mar/21 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{sin}{x}−{x}}{\mathrm{tan}{x}−{x}}=? \\ $$ Answered by EDWIN88 last updated on 20/Mar/21 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{sin}\:\mathrm{x}−\mathrm{x}}{\mathrm{tan}\:\mathrm{x}−\mathrm{x}}\:=\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{cos}\:\mathrm{x}−\mathrm{1}}{\mathrm{sec}\:^{\mathrm{2}} \mathrm{x}−\mathrm{1}} \\…
Question Number 70704 by 20190927 last updated on 07/Oct/19 $$\mathrm{z}^{\mathrm{4}} −\mathrm{2z}^{\mathrm{2}} +\mathrm{2}=\mathrm{0} \\ $$ Commented by mathmax by abdo last updated on 08/Oct/19 $${z}^{\mathrm{4}} −\mathrm{2}{z}^{\mathrm{2}}…
Question Number 70705 by sadimuhmud 136 last updated on 07/Oct/19 $$\frac{\mathrm{d}}{\mathrm{dx}}\left(\mathrm{log}_{\mathrm{10}} \mathrm{x}\right)=? \\ $$ Answered by $@ty@m123 last updated on 07/Oct/19 $$\frac{\mathrm{d}}{\mathrm{dx}}\left(\frac{\mathrm{log}_{{e}} \:{x}.}{\mathrm{log}_{{e}} \:\mathrm{10}}\right)=\frac{\mathrm{1}}{\mathrm{ln}\:\mathrm{10}}.\frac{{d}}{{dx}}\left(\mathrm{ln}\:{x}\right) \\…