Question Number 122106 by bemath last updated on 14/Nov/20 $$\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{3sin}\:\left(\pi{x}\right)−\mathrm{sin}\:\left(\mathrm{3}\pi{x}\right)}{{x}^{\mathrm{3}} }\:=? \\ $$ Answered by liberty last updated on 14/Nov/20 $$\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{3}\left(\pi\mathrm{x}−\frac{\pi^{\mathrm{3}} \mathrm{x}^{\mathrm{3}} }{\mathrm{6}}\right)−\left(\mathrm{3}\pi\mathrm{x}−\frac{\mathrm{27}\pi^{\mathrm{3}}…
Question Number 122071 by bemath last updated on 13/Nov/20 $$\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:{e}^{\frac{\mathrm{1}}{{x}}} \left(\frac{\mathrm{1}+\mathrm{2}{x}}{\mathrm{1}+\mathrm{3}{x}}\right)^{\frac{\mathrm{1}}{{x}^{\mathrm{2}} }} \:? \\ $$ Answered by liberty last updated on 13/Nov/20 $$\:\mathrm{L}\:=\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\mathrm{e}^{\frac{\mathrm{1}}{\mathrm{x}}}…
Question Number 187607 by SonGoku last updated on 19/Feb/23 $$\: \\ $$$$\:\boldsymbol{\mathrm{Help}}!\:\::\left(\right. \\ $$$$\: \\ $$$$\:\boldsymbol{\mathrm{Should}}\:\:\boldsymbol{\mathrm{i}}\:\:\boldsymbol{\mathrm{partially}}\:\:\boldsymbol{\mathrm{differentiate}}\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{numerator}}\:\:\boldsymbol{\mathrm{and}}\:\:\boldsymbol{\mathrm{denominator}}? \\ $$$$\: \\ $$$$\:\underset{\left(\boldsymbol{{x}},\:\boldsymbol{\mathrm{y}}\right)\rightarrow\left(\mathrm{0},\mathrm{1}\right)} {\boldsymbol{\mathrm{lim}}}\left[\frac{\boldsymbol{{x}}^{\boldsymbol{{e}}} \:\:+\:\boldsymbol{{ln}}\left(\frac{\mathrm{1}}{\boldsymbol{\mathrm{y}}}\right)}{\boldsymbol{{x}}^{\boldsymbol{{e}}} \:−\:\boldsymbol{{ln}}\left(\frac{\mathrm{1}}{\boldsymbol{\mathrm{y}}}\right)}\right] \\ $$…
Question Number 187598 by horsebrand11 last updated on 19/Feb/23 $$\:\underset{{x}\rightarrow\mathrm{0}^{+} } {\mathrm{lim}}\frac{\mathrm{6}}{{x}}−\sqrt{\frac{\mathrm{36}}{{x}^{\mathrm{2}} }+\frac{\mathrm{4}}{{x}}+\mathrm{9}}\:=? \\ $$ Answered by cortano12 last updated on 19/Feb/23 $$\:\:{L}=\underset{{x}\rightarrow\mathrm{0}^{+} } {\mathrm{lim}}\:\frac{\mathrm{6}}{{x}}\:−\frac{\mathrm{1}}{{x}}\sqrt{\mathrm{36}+\mathrm{4}{x}+\mathrm{9}{x}^{\mathrm{2}}…
Question Number 56453 by wasim last updated on 16/Mar/19 Commented by wasim last updated on 16/Mar/19 $$\mathrm{please}\:\:\mathrm{solve}\:\mathrm{question}\:\mathrm{7} \\ $$$$ \\ $$$$\mathrm{thanks} \\ $$ Commented by…
Question Number 121958 by bemath last updated on 13/Nov/20 $$\:\left(\mathrm{1}\right)\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\left(\frac{\mathrm{2}+\mathrm{cos}\:{x}}{{x}^{\mathrm{3}} \:\mathrm{sin}\:{x}}\:−\:\frac{\mathrm{3}}{{x}^{\mathrm{4}} }\:\right)=? \\ $$$$\:\left(\mathrm{2}\right)\:\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\:\frac{\mathrm{3}^{\mathrm{5}{x}} \:−\:\mathrm{3}^{\mathrm{2}{x}^{\mathrm{2}} +\mathrm{3}} }{\mathrm{sin}\:\left(\pi{x}\right)}\:=?\: \\ $$ Answered by liberty last…
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Question Number 121833 by 676597498 last updated on 12/Nov/20 $$\mathrm{p}\left(\mathrm{x}+\mathrm{2}\right)=\mathrm{p}\left(\mathrm{x}\right) \\ $$$$\mathrm{p}\left(\mathrm{k}\right)=\mathrm{0} \\ $$$$\mathrm{p}\left(\mathrm{k}+\mathrm{1}\right)=\mathrm{2} \\ $$$$\mathrm{find}\:\mathrm{p}\left(\mathrm{x}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com