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Question Number 146529 by 0731619 last updated on 13/Jul/21 Answered by Olaf_Thorendsen last updated on 14/Jul/21 $$\mathrm{Let}\:{x}\:=\:\mathrm{5}+\epsilon \\ $$$$\frac{{x}!!!−\mathrm{10}}{{x}−\mathrm{5}}\:=\:\frac{\left(\mathrm{5}+\epsilon\right)\left(\mathrm{2}+\epsilon\right)−\mathrm{10}}{\mathrm{5}+\epsilon−\mathrm{5}} \\ $$$$=\:\frac{\mathrm{7}\epsilon+\epsilon^{\mathrm{2}} }{\epsilon}\:\underset{\epsilon\rightarrow\mathrm{0}} {\sim}\mathrm{7} \\ $$…
Question Number 146528 by 0731619 last updated on 13/Jul/21 Answered by Olaf_Thorendsen last updated on 14/Jul/21 $$\mathrm{Let}\:{x}\:=\:\mathrm{6}+\epsilon \\ $$$$\frac{{x}!!−\mathrm{48}}{\mathrm{6}−\sqrt{\mathrm{6}{x}}}\:=\:\frac{\left(\mathrm{6}+\epsilon\right)\left(\mathrm{4}+\epsilon\right)\left(\mathrm{2}+\epsilon\right)−\mathrm{48}}{\mathrm{6}−\sqrt{\mathrm{6}\left(\mathrm{6}+\epsilon\right)}} \\ $$$$=\:\frac{\mathrm{44}\epsilon+\mathrm{12}\epsilon^{\mathrm{2}} +\epsilon^{\mathrm{3}} }{\mathrm{6}−\mathrm{6}\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}.\frac{\epsilon}{\mathrm{6}}\right)}\:\underset{\epsilon\rightarrow\mathrm{0}} {\sim}\:−\mathrm{88} \\…
Question Number 146504 by tabata last updated on 13/Jul/21 $${find}\:{the}\:{sigular}\:{point}\: \\ $$$$ \\ $$$$\left(\mathrm{1}\right){f}\left({z}\right)={ln}\mid{z}\mid \\ $$$$ \\ $$$$\left(\mathrm{2}\right){f}\left({z}\right)=\frac{\mathrm{1}−{cosz}}{{sinz}^{\mathrm{2}} } \\ $$ Terms of Service Privacy…
Question Number 80943 by Kunal12588 last updated on 08/Feb/20 $$\mathrm{Find}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{a}\:\mathrm{plane}\:\mathrm{passing}\:\mathrm{through}\:\mathrm{the} \\ $$$$\mathrm{points}\:\left({x}_{\mathrm{1}} ,\:{y}_{\mathrm{1}} ,\:{z}_{\mathrm{1}} \right),\:\left({x}_{\mathrm{2}} ,\:{y}_{\mathrm{2}} ,\:{z}_{\mathrm{2}} \right)\:\mathrm{and}\:\mathrm{perpendicular} \\ $$$$\mathrm{to}\:\mathrm{the}\:\mathrm{plane}\:{ax}+{by}+{cz}={d} \\ $$ Answered by mr…
Question Number 80926 by 20092104 last updated on 08/Feb/20 $${i}^{{i}} \\ $$ Commented by mr W last updated on 08/Feb/20 $${i}=\mathrm{cos}\:\frac{\pi}{\mathrm{2}}+{i}\:\mathrm{sin}\:\frac{\pi}{\mathrm{2}}={e}^{{i}\frac{\pi}{\mathrm{2}}} \\ $$$${i}^{{i}} =\left({e}^{{i}\frac{\pi}{\mathrm{2}}} \right)^{{i}}…
Question Number 146408 by tabata last updated on 13/Jul/21 $${find}\:\mathrm{3}{x}\approxeq\mathrm{4}\left(\:{mod}\:\mathrm{5}\right) \\ $$ Commented by tabata last updated on 13/Jul/21 $${help}\:{me}\:{sir} \\ $$ Commented by tabata…
Question Number 80879 by naka3546 last updated on 07/Feb/20 Commented by mr W last updated on 07/Feb/20 $${i}\:{think}\:{we}\:{can}\:{get}\:{it}\:{only}\:{using} \\ $$$${calculator}.\: \\ $$$${it}\:{is}\:{the}\:{same}\:{as}\:{to}\:{find}\:{the}\:{integer}\: \\ $$$${part}\:{of} \\…
Question Number 146411 by tabata last updated on 13/Jul/21 $${prove}\:\mathrm{197}\:{prime}\:{number} \\ $$ Commented by tabata last updated on 13/Jul/21 $$?????? \\ $$ Answered by MJS_new…
Question Number 146401 by Khalmohmmad last updated on 13/Jul/21 $$\frac{{dy}}{{dx}}\left({x}!\right) \\ $$ Commented by puissant last updated on 13/Jul/21 Terms of Service Privacy Policy Contact:…