Question Number 212745 by RoseAli last updated on 22/Oct/24 Answered by mehdee7396 last updated on 22/Oct/24 $${lim}_{{x}\rightarrow\mathrm{0}} \left(\frac{\mathrm{1}+{tanx}}{\mathrm{1}−{tanx}}−\mathrm{1}\right)×\frac{\mathrm{1}}{{sinx}} \\ $$$$={lim}_{{x}\rightarrow\mathrm{0}} \left(\frac{\mathrm{2}{tanx}}{\mathrm{1}−{tanx}}\right)×\frac{\mathrm{1}}{{sinx}} \\ $$$$={lim}_{{x}\rightarrow\mathrm{0}} \left(\frac{\mathrm{2}}{\mathrm{1}−{tanx}}\right)×\frac{\mathrm{1}}{{cosx}}=\mathrm{2} \\…
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Question Number 212405 by mathlove last updated on 13/Oct/24 $$\underset{{x}\rightarrow\mathrm{3}} {\mathrm{lim}}\frac{{e}^{{x}} −{e}^{\mathrm{3}} }{{x}−\mathrm{3}}=? \\ $$ Answered by som(math1967) last updated on 13/Oct/24 $$\underset{{x}\rightarrow\mathrm{3}} {\:{lim}}\frac{{e}^{\mathrm{3}} \left({e}^{{x}−\mathrm{3}}…
Question Number 212204 by liuxinnan last updated on 06/Oct/24 $${f}\left({x}\right)\:{is}\:{continous}\:{and} \\ $$$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}{f}\left({x}\right)=−\infty \\ $$$${prove}\:{max}\left({f}\left({x}\right)\right)\:{exist} \\ $$ Commented by mr W last updated on 06/Oct/24…
Question Number 212169 by universe last updated on 04/Oct/24 $$\:\:\:\:\:\:\:\:\:\:\underset{\lambda\rightarrow\mathrm{0}^{+} } {\mathrm{lim}}\:\:\int_{\lambda} ^{\mathrm{2}\lambda} \:\frac{{e}^{\left({x}−\mathrm{1}\right)^{\mathrm{2}} } }{{x}}{dx}\:=\:? \\ $$ Answered by MrGaster last updated on 03/Nov/24…
Question Number 212097 by liuxinnan last updated on 30/Sep/24 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\left({x}^{\mathrm{2}} +{e}^{{x}} \right)^{\frac{\mathrm{1}}{{x}}} =? \\ $$ Answered by mehdee7396 last updated on 30/Sep/24 $${lim}_{{x}\rightarrow\mathrm{0}} \:\frac{{x}^{\mathrm{2}}…
Question Number 211759 by liuxinnan last updated on 20/Sep/24 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{e}^{\mathrm{sin}\:{x}} −{e}^{{x}} }{\mathrm{sin}\:{x}−{x}}=? \\ $$ Commented by liuxinnan last updated on 20/Sep/24 Answered by TonyCWX08…
Question Number 211745 by Majak last updated on 19/Sep/24 $$\underset{{x}\rightarrow\mathrm{5}} {\mathrm{lim}}\left(\mathrm{10}^{\mathrm{2}} +\mathrm{5}{x}−\mathrm{20}\right) \\ $$ Commented by Majak last updated on 19/Sep/24 $${need}\:{help}\:{guy} \\ $$ Answered…
Question Number 211717 by liuxinnan last updated on 18/Sep/24 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{li}{m}}\frac{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{\frac{\mathrm{1}}{\mathrm{3}}} −\mathrm{1}}{{e}^{{x}^{\mathrm{2}} } −\mathrm{1}}=? \\ $$ Answered by BHOOPENDRA last updated on 18/Sep/24 $$\underset{{x}\rightarrow\mathrm{0}}…