Question Number 24286 by Joel577 last updated on 15/Nov/17 $$\mathrm{If}\:\mid{x}\mid\:<\:\mathrm{1}\:\mathrm{then} \\ $$$$\left({x}\:+\:\mathrm{1}\right)\left({x}^{\mathrm{2}} \:+\:\mathrm{1}\right)\left({x}^{\mathrm{4}} \:+\:\mathrm{1}\right)\left({x}^{\mathrm{8}} \:+\:\mathrm{1}\right)\left({x}^{\mathrm{16}} \:+\:\mathrm{1}\right)….. \\ $$$$\mathrm{is}\:\mathrm{equal}\:\mathrm{to} \\ $$ Answered by mrW1 last updated…
Question Number 155359 by mathlove last updated on 29/Sep/21 Commented by mathlove last updated on 30/Sep/21 $${pleas}\:{answer} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 155353 by zakirullah last updated on 29/Sep/21 $$\boldsymbol{{show}}\:\boldsymbol{{that}}\:\:\boldsymbol{{lim}}_{\boldsymbol{{x}}\rightarrow\mathrm{0}} \frac{\boldsymbol{{sinx}}}{\boldsymbol{{x}}}\:=\:\mathrm{1} \\ $$ Answered by puissant last updated on 29/Sep/21 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{sinx}}{{x}}=\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{sinx}−{sin}\mathrm{0}}{{x}−\mathrm{0}}={f}'\left(\mathrm{0}\right) \\ $$$${f}\left({x}\right)={sinx}\rightarrow{f}'\left({x}\right)={cosx}…
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Question Number 89816 by peter frank last updated on 19/Apr/20 Commented by mr W last updated on 19/Apr/20 $${what}\:{do}\:{you}\:{mean}\:{with}\:{t}_{\mathrm{1}} ,\:{t}_{\mathrm{2}} ,\:{t}_{\mathrm{3}} ? \\ $$$${you}\:{said}\:{they}\:{are}\:{three}\:{points},\:{but} \\…
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Question Number 155345 by mathdanisur last updated on 29/Sep/21 $$\mathrm{Solve}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{in}\:\mathbb{R} \\ $$$$\frac{\mathrm{5}\sqrt{\mathrm{x}+\mathrm{1}}}{\:\sqrt{\mathrm{1}\:-\:\mathrm{x}\:+\:\mathrm{x}^{\mathrm{2}} }\:+\:\mathrm{2}\sqrt{\mathrm{x}\:+\:\mathrm{1}}}\:=\:\mathrm{4x}^{\mathrm{2}} \:-\:\mathrm{5x}\:+\:\mathrm{5} \\ $$ Commented by MJS_new last updated on 29/Sep/21 $$\mathrm{no}\:\mathrm{real}\:\mathrm{solution} \\…
Question Number 155344 by mathdanisur last updated on 29/Sep/21 $$\mathrm{Solve}\:\mathrm{for}\:\mathrm{integers}: \\ $$$$ \\ $$$$\mathrm{x}^{\mathrm{2}} \:-\:\mathrm{3x}\left(\mathrm{y}^{\mathrm{2}} \:+\:\mathrm{y}\:-\:\mathrm{1}\right)\:+\:\mathrm{4y}^{\mathrm{2}} \:+\:\mathrm{4y}\:-\:\mathrm{6}\:=\:\mathrm{0} \\ $$ Answered by ghimisi last updated on…
Question Number 89809 by jagoll last updated on 19/Apr/20 $$\frac{\mathrm{dy}}{\mathrm{dx}}\:=\:\frac{\mathrm{y}^{\mathrm{2}} }{\mathrm{xy}−\mathrm{x}^{\mathrm{2}} } \\ $$ Answered by john santu last updated on 19/Apr/20 Answered by mr…
Question Number 89804 by peter frank last updated on 19/Apr/20 Answered by jagoll last updated on 19/Apr/20 Commented by jagoll last updated on 19/Apr/20 $$\mathrm{vol}\:=\:\pi\:\underset{\mathrm{1}}…