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Where-f-x-4x-2-1-2x-1-defined-in-R-1-2-determine-lim-x-1-2-f-x-

Question Number 71000 by Maclaurin Stickker last updated on 10/Oct/19 $${Where}\:{f}\left({x}\right)=\frac{\mathrm{4}{x}^{\mathrm{2}} −\mathrm{1}}{\mathrm{2}{x}−\mathrm{1}}\:{defined}\:{in}\: \\ $$$$\mathbb{R}−\left\{\frac{\mathrm{1}}{\mathrm{2}}\right\},\:{determine}\:\underset{{x}\rightarrow\frac{\mathrm{1}}{\mathrm{2}}} {\mathrm{lim}}{f}\left({x}\right). \\ $$ Commented by mathmax by abdo last updated on…

Question-70996

Question Number 70996 by A8;15: last updated on 10/Oct/19 Commented by mathmax by abdo last updated on 10/Oct/19 $${let}\:{take}\:{a}\:{try}\:\left({e}\right)\:\Rightarrow\sqrt{{x}^{\mathrm{3}} +\mathrm{24}}−\sqrt{{x}^{\mathrm{3}} \:+\mathrm{12}}=\mathrm{3}{x}+\mathrm{8}\:\Rightarrow \\ $$$$\left(\sqrt{{x}^{\mathrm{3}} +\mathrm{24}}−\sqrt{{x}^{\mathrm{3}} +\mathrm{12}}\right)^{\mathrm{2}}…

L-lim-x-0-2-1-sinx-1-sinx-1-tanx-1-tanx-e-x-2-

Question Number 136531 by SOMEDAVONG last updated on 23/Mar/21 $$\mathrm{L}=\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{2}\left(\mathrm{1}+\mathrm{sinx}\right)^{\frac{\mathrm{1}}{\mathrm{sinx}}} −\left(\mathrm{1}+\mathrm{tanx}\right)^{\frac{\mathrm{1}}{\mathrm{tanx}}} −\mathrm{e}}{\mathrm{x}^{\mathrm{2}} } \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Password-reset-changes-In-case-you-forget-any-password-set-you-can-simple-reset-by-going-to-set-update-password-Leave-old-password-field-blank-This-will-work-only-if-you-are-trying-to-reset-when-a

Question Number 70974 by Tinku Tara last updated on 10/Oct/19 $$\boldsymbol{\mathrm{Password}}\:\boldsymbol{\mathrm{reset}}\:\boldsymbol{\mathrm{changes}} \\ $$$$\mathrm{In}\:\mathrm{case}\:\mathrm{you}\:\mathrm{forget}\:\mathrm{any}\:\mathrm{password}\:\mathrm{set} \\ $$$$\mathrm{you}\:\mathrm{can}\:\mathrm{simple}\:\mathrm{reset}\:\mathrm{by}\:\mathrm{going}\:\mathrm{to} \\ $$$$\mathrm{set}/\mathrm{update}\:\mathrm{password}. \\ $$$$ \\ $$$$\mathrm{Leave}\:\mathrm{old}\:\mathrm{password}\:\mathrm{field}\:\mathrm{blank}. \\ $$$$ \\ $$$$\mathrm{This}\:\mathrm{will}\:\mathrm{work}\:\mathrm{only}\:\mathrm{if}\:\mathrm{you}\:\mathrm{are}\:\mathrm{trying}…

if-z-1-i-3-2-find-arg-z-

Question Number 136514 by mohammad17 last updated on 22/Mar/21 $${if}\:{z}=\frac{\mathrm{1}−{i}\sqrt{\mathrm{3}}}{\mathrm{2}}\:\:{find}\:{arg}\left(−{z}\right) \\ $$ Answered by mr W last updated on 22/Mar/21 $$−{z}=−\frac{\mathrm{1}}{\mathrm{2}}+\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}{i} \\ $$$${arg}\left(−{z}\right)=\frac{\mathrm{2}\pi}{\mathrm{3}}=\mathrm{120}° \\ $$…

4dx-3-5sin-x-

Question Number 136466 by aurpeyz last updated on 22/Mar/21 $$\int\frac{\mathrm{4}{dx}}{\mathrm{3}−\mathrm{5}{sin}\:{x}} \\ $$ Answered by mathmax by abdo last updated on 22/Mar/21 $$\Phi=\int\:\:\frac{\mathrm{4dx}}{\mathrm{3}−\mathrm{5sinx}}\:\mathrm{we}\:\mathrm{do}\:\mathrm{the}\:\mathrm{changement}\:\mathrm{tan}\left(\frac{\mathrm{x}}{\mathrm{2}}\right)=\mathrm{t}\:\Rightarrow \\ $$$$\Phi=\int\:\:\frac{\mathrm{4}}{\left(\mathrm{3}−\mathrm{5}\frac{\mathrm{2t}}{\mathrm{1}+\mathrm{t}^{\mathrm{2}} }\right)}\frac{\mathrm{2dt}}{\left(\mathrm{1}+\mathrm{t}^{\mathrm{2}}…

Evaluate-4-3-3-3-3-

Question Number 136463 by Plutonic last updated on 22/Mar/21 $${Evaluate}\:\mathrm{4}\sqrt{\mathrm{3}\:}\left(\frac{\mathrm{3}}{\:\sqrt{\mathrm{3}}}+\sqrt{\mathrm{3}}\right) \\ $$ Answered by aurpeyz last updated on 22/Mar/21 $${multiply}\:{through}\:{by}\:\mathrm{4}\sqrt{\mathrm{3}} \\ $$$$\mathrm{12}+\mathrm{12}=\mathrm{24} \\ $$ Terms…