Question Number 137016 by PGeeman last updated on 28/Mar/21 Answered by Dwaipayan Shikari last updated on 28/Mar/21 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}{a}^{{x}} \sim\mathrm{1}+{xlog}\left({a}\right)\:\:\:{sin}\left({x}\right)\sim{x}\:;\:\:{log}\left(\mathrm{1}+{x}\right)\sim{x} \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\left(\mathrm{4}^{{x}} −\mathrm{1}\right)^{\mathrm{3}} }{{sin}\left(\frac{{x}}{{p}}\right){log}\left(\mathrm{1}+\frac{{x}^{\mathrm{2}}…
Question Number 5948 by 123456 last updated on 06/Jun/16 $$\mathrm{is}\:\mathrm{there}\:{a}_{{n}} \:\mathrm{such}\:\mathrm{that}\:\Sigma{a}_{{n}} \:\mathrm{and}\:\Pi{a}_{{n}} \\ $$$$\mathrm{converge}? \\ $$ Answered by Yozzii last updated on 06/Jun/16 $${Yes}.\:{Let}\:{a}_{{n}} ={r}^{{n}}…
Question Number 5921 by FilupSmith last updated on 05/Jun/16 $$\mathrm{Does}:\: \\ $$$$\left(\mathrm{1}\right)\:\:\:\:\underset{{i}=\mathrm{1}} {\overset{\infty} {\sum}}\Gamma\left(\frac{\mathrm{1}}{{i}}\right)\:\:\mathrm{converge}? \\ $$$$\left(\mathrm{2}\right)\:\:\:\:\underset{{i}=\mathrm{1}} {\overset{\infty} {\prod}}\Gamma\left(\frac{\mathrm{1}}{{i}}\right)\:\:\mathrm{converge}? \\ $$ Commented by Yozzii last updated…
Question Number 136995 by Dwaipayan Shikari last updated on 28/Mar/21 $$\mathrm{1}−\left(\frac{\mathrm{1}.\mathrm{1}.\mathrm{3}}{\mathrm{2}.\mathrm{3}.\mathrm{4}}\right)\frac{\mathrm{1}}{\mathrm{1}!}+\left(\frac{\mathrm{3}.\mathrm{3}.\mathrm{7}}{\mathrm{2}^{\mathrm{2}} .\mathrm{3}^{\mathrm{2}} .\mathrm{4}^{\mathrm{2}} }\right)\frac{\mathrm{1}}{\mathrm{2}!}−\left(\frac{\mathrm{5}.\mathrm{7}.\mathrm{10}}{\mathrm{2}^{\mathrm{3}} .\mathrm{3}^{\mathrm{3}} .\mathrm{4}^{\mathrm{3}} }\right)\frac{\mathrm{1}}{\mathrm{3}!}−…. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 5914 by sanusihammed last updated on 05/Jun/16 $${A}\:{certain}\:{telephone}\:{company}\:{can}\:{get}\:\mathrm{10000}\:{subscribers}\:\:\:{t}. \\ $$$${yearly}\:{rate}\:{at}\:\mathrm{50}\:{naira}\:{each}\:.\:{it}\:{will}\:{get}\:\mathrm{1000}\:{more}\:{subscribers} \\ $$$${for}\:{each}\:\mathrm{1}.\mathrm{00}\:{naira}\:{decrease}\:{in}\:{the}\:{rate}.\:{what}\:{rate}\:{will}\:{yield}\: \\ $$$${the}\:{maximum}\:{yearly}\:{income}\:{and}\:{what}\:{will}\:{this}\:{income}\:{be}\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 5913 by sanusihammed last updated on 05/Jun/16 $${Suppose}\:{a}\:{drug}\:{manufacturer}\:{can}\:{sell}\:\:{x}\:\:{bottles}\:{of}\:{drug}\:{at} \\ $$$${price}\:{P}\:\:=\:\mathrm{200}\:−\:\mathrm{0}.\mathrm{01}{x}\:{kobo}\:{and}\:{that}\:{it}\:{cost}\:\:{y}\:=\:\mathrm{50}{x}\:+\:\mathrm{20000} \\ $$$${kobo}\:{to}\:{produce}\:{x}\:{bottles}\:{of}\:{drug}.\:{What}\:{is}\:{the}\:{production}\:{level}\: \\ $$$${for}\:{maximum}\:{profit}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 71432 by mezihloic last updated on 15/Oct/19 $${is}\:\mathrm{1}\frac{\mathrm{5}}{\mathrm{3}\:}\:{an}\:{example}\:{of}\:{a}\:{mixed}\:{fraction} \\ $$ Commented by Prithwish sen last updated on 15/Oct/19 $$\boldsymbol{\mathrm{It}}\:\boldsymbol{\mathrm{will}}\:\boldsymbol{\mathrm{be}}\:\mathrm{2}\frac{\mathrm{2}}{\mathrm{3}} \\ $$ Commented by…
Question Number 136950 by BHOOPENDRA last updated on 28/Mar/21 Answered by Olaf last updated on 28/Mar/21 $$\overset{\wedge} {{f}}\:^{{c}} \left(\nu\right)\:=\:\int_{−\infty} ^{+\infty} {f}\left({s}\right)\mathrm{cos}\left(\mathrm{2}\pi\nu{s}\right){ds}\:=\:\mathrm{Re}\overset{\wedge} {{f}}\left(\nu\right) \\ $$$$\mathcal{F}\left(\frac{\mathrm{1}}{{s}}\right)\:=\:−{i}\pi\mathrm{sign}\left(\nu\right) \\…
Question Number 5859 by wanderer last updated on 02/Jun/16 $${what}\:{is}\:{the}\:{intutive}\:{understanding}\:{of}\: \\ $$$${eigenvalues}\:{and}\:{vectors}.{with}\:{practical}\: \\ $$$${examples}. \\ $$ Commented by FilupSmith last updated on 02/Jun/16 $$\mathrm{A}\:\mathrm{vector}\:\mathrm{is}\:\mathrm{a}\:\mathrm{direction}\:\mathrm{and}\:\mathrm{magnitude}. \\…
Question Number 136930 by I want to learn more last updated on 27/Mar/21 Commented by I want to learn more last updated on 27/Mar/21 Commented…