Question Number 174071 by alcohol last updated on 24/Jul/22 Answered by aleks041103 last updated on 24/Jul/22 $$ . \\ $$$$\mathrm{1}. \\ $$$${F}\left({x}\right)=\int_{\mathrm{0}} ^{\:{x}} \frac{{dt}}{\:\sqrt{\mathrm{1}−{t}^{\mathrm{2}} }}=\int_{\mathrm{0}}…
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Question Number 108469 by bemath last updated on 17/Aug/20 $$\:\:\:\frac{\subset\mathcal{B}{e}\mathcal{M}{ath}\supset}{\cap} \\ $$$$\left(\mathrm{1}\right)\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{1}−\mathrm{cos}\:{x}\:\sqrt{\mathrm{cos}\:\mathrm{2}{x}}\:\sqrt{\mathrm{cos}\:\mathrm{3}{x}}…\sqrt{\mathrm{cos}\:{nx}}}{{x}^{\mathrm{2}} }\:? \\ $$$$\left(\mathrm{2}\right){x}^{\mathrm{2}} {y}''+{xy}'−\mathrm{4}{y}=\mathrm{0};\:{y}\left(\mathrm{1}\right)=\mathrm{2}\:{and} \\ $$$$\:\:\:{y}'\left(\mathrm{1}\right)=\mathrm{0} \\ $$$$\left(\mathrm{3}\right){find}\:{the}\:{probability}\:{that}\:{a}\:{person}\:\:{throwing}\:{three} \\ $$$${coins}\:{at}\:{once}\:{will}\:{get}\:{all}\:{the}\:{face}\:{or}\: \\ $$$${everything}\:{back}\:{for}\:{second}\:{time}\:{at}…
Question Number 42933 by Joel578 last updated on 05/Sep/18 $$\mathrm{Suppose}\:\mathrm{that}\:{f}\:\mathrm{and}\:{g}\:\mathrm{are}\:\mathrm{two}\:\mathrm{functions}\:\mathrm{such}\:\mathrm{that} \\ $$$$\underset{{x}\rightarrow{a}} {\mathrm{lim}}\:{g}\left({x}\right)\:=\:\mathrm{0}\:\:\:\:\mathrm{and}\:\:\:\:\underset{{x}\rightarrow{a}} {\mathrm{lim}}\:\frac{{f}\left({x}\right)}{{g}\left({x}\right)}\:\:\:\mathrm{exist}. \\ $$$$\mathrm{Prove}\:\mathrm{that}\:\underset{{x}\rightarrow{a}} {\mathrm{lim}}\:{f}\left({x}\right)\:=\:\mathrm{0} \\ $$ Commented by MrW3 last updated on…
Question Number 42897 by Joel578 last updated on 04/Sep/18 Commented by Joel578 last updated on 04/Sep/18 $$\mathrm{For}\:\mathrm{question}\:\left({c}\right), \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:{G}\left({x}\right)\:=\:\mathrm{2}\:\:\:\mathrm{or}\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:{G}\left({x}\right)\:=\:\mathrm{0}\:? \\ $$ Answered by…
Question Number 42895 by Joel578 last updated on 04/Sep/18 Commented by Joel578 last updated on 04/Sep/18 $$\mathrm{For}\:\mathrm{question}\:\left({c}\right), \\ $$$$\mathrm{the}\:\mathrm{limit}\:\mathrm{doesn}'\mathrm{t}\:\mathrm{exist}\:\mathrm{or}\:\underset{{x}\rightarrow\mathrm{3}} {\mathrm{lim}}\:{f}\left({x}\right)\:=\:\mathrm{1}\:? \\ $$ Answered by MJS…
Question Number 108350 by Ar Brandon last updated on 16/Aug/20 $$\mathrm{Calculate}\:\frac{\mathrm{d}^{\mathrm{n}} }{\mathrm{dx}^{\mathrm{n}} }\left(\mathrm{sinx}\right)\:,\:\frac{\mathrm{d}^{\mathrm{n}} }{\mathrm{dx}^{\mathrm{n}} }\left(\mathrm{lnx}\right) \\ $$ Answered by Dwaipayan Shikari last updated on 16/Aug/20…
Question Number 108349 by Ar Brandon last updated on 16/Aug/20 $$\mathrm{Derive}\:\mathrm{Leibniz}'\mathrm{s}\:\mathrm{formula}\:: \\ $$$$\left(\mathrm{fg}\right)^{\left(\mathrm{n}\right)} \left(\mathrm{x}_{\mathrm{0}} \right)=\underset{\mathrm{k}=\mathrm{0}} {\overset{\mathrm{n}} {\sum}}\mathrm{C}_{\mathrm{n}} ^{\mathrm{k}} \mathrm{f}^{\left(\mathrm{k}\right)} \left(\mathrm{x}_{\mathrm{0}} \right)\mathrm{g}^{\left(\mathrm{n}−\mathrm{k}\right)} \left(\mathrm{x}_{\mathrm{0}} \right) \\ $$…
Question Number 108341 by Ar Brandon last updated on 16/Aug/20 $$\underset{\mathrm{x}\rightarrow+\infty} {\mathrm{lim}}\left\{\mathrm{ln}\left(\mathrm{cosh}\:\mathrm{x}\right)\:−\:\mathrm{x}\right\} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 108265 by Study last updated on 15/Aug/20 $${li}\underset{{x}\rightarrow\mathrm{0}} {{m}}\frac{\mathrm{10}^{{x}} −\mathrm{1}}{{x}^{\mathrm{10}} }\:\:\:\:\:{defin}\:{or}\:{not}\:{defin}??? \\ $$ Commented by Dwaipayan Shikari last updated on 15/Aug/20 $${Limit}\:{Doesn}'{t}\:{exist} \\…