Question Number 26565 by abdo imad last updated on 26/Dec/17 $${find}\:{the}\:{value}\:{of}\:\:\:\sum_{{n}=\mathrm{0}} ^{\propto} \:\:\frac{\left(−\mathrm{1}\right)^{{n}} }{\mathrm{3}{n}+\mathrm{1}} \\ $$ Commented by abdo imad last updated on 29/Dec/17 $${let}\:{put}\:\:{s}\left({x}\right)=\:\:\sum_{{n}=\mathrm{0}}…
Question Number 26534 by chernoaguero@gmail.com last updated on 26/Dec/17 $$\mathrm{Find}\:\:\mathrm{the} \\ $$$$\underset{\theta\rightarrow\mathrm{0}} {\mathrm{lim}}\:\:\frac{\mathrm{3}^{\mathrm{sin}\:\theta} −\mathrm{1}}{\theta} \\ $$ Commented by kaivan.ahmadi last updated on 26/Dec/17 $$\mathrm{hop} \\…
Question Number 92056 by john santu last updated on 04/May/20 $$\underset{{x}\rightarrow\mathrm{0}^{+} } {\mathrm{lim}}\:\frac{\mathrm{ln}\left({x}\right)}{\mathrm{cot}\:{x}} \\ $$ Commented by Prithwish Sen 1 last updated on 05/May/20 $$\underset{\mathrm{x}\rightarrow\mathrm{0}}…
Question Number 157591 by cortano last updated on 25/Oct/21 $$\:\underset{{x}\rightarrow\pi} {\mathrm{lim}}\:\left(\left({x}−\pi\right)^{\mathrm{2}} \mathrm{cos}\:\left(\frac{\mathrm{1}}{{x}−\pi}\right)+{x}^{\mathrm{4}} +\mathrm{sin}\:^{\mathrm{3}} {x}\right)=? \\ $$ Answered by Lordose last updated on 25/Oct/21 $$\boldsymbol{\pi}^{\mathrm{4}} \\…
Question Number 92032 by M±th+et+s last updated on 04/May/20 $$\underset{{x}\rightarrow\infty} {{lim}}\frac{\mathrm{2}^{\mathrm{4}{n}−\mathrm{1}} \ast\left({n}!\right)^{\mathrm{2}} }{\left(\mathrm{2}{n}+\mathrm{1}\right)\ast\left[\mathrm{2}{n}\:{p}\left({n}\right)\right]^{\mathrm{2}} } \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
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Question Number 91954 by john santu last updated on 04/May/20 $$\underset{{x}\rightarrow\mathrm{0}^{+} } {\mathrm{lim}}\:\frac{\mathrm{ln}\left(\mathrm{sin}\:\mathrm{2x}\right)}{\mathrm{ln}\left(\mathrm{sin}\:\mathrm{4x}\right)} \\ $$ Commented by jagoll last updated on 04/May/20 $$\mathrm{doesn}'\mathrm{t}\:\mathrm{exist} \\ $$…
Question Number 26402 by abdo imad last updated on 25/Dec/17 $${find}\:{the}\:{nature}\:{of}\:{the}\:{serie}\:\:\sum_{{n}=\mathrm{0}} ^{\propto} \frac{{n}!}{\mathrm{1}+\mathrm{2}^{{n}} }\:\:. \\ $$ Commented by prakash jain last updated on 25/Dec/17 $${n}!=\mathrm{2}^{{n}−\mathrm{1}}…
Question Number 26401 by abdo imad last updated on 25/Dec/17 $${find}\:{the}\:{sum}\:{of}\:\: \\ $$$$\sum_{{n}=\mathrm{1}} ^{\propto} \:\:\frac{\mathrm{1}}{{n}\:\:\mathrm{2}^{{n}} }\:\:. \\ $$ Commented by abdo imad last updated on…
Question Number 91897 by john santu last updated on 03/May/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{sin}\:\left(\mathrm{2}{x}−\mathrm{sin}\:{x}\right)}{\mathrm{1}−\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }}\:=\:? \\ $$ Commented by john santu last updated on 03/May/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{2}{x}−\mathrm{sin}\:{x}}{\mathrm{1}−\left(\mathrm{1}−\frac{{x}^{\mathrm{2}}…