Question Number 165392 by LEKOUMA last updated on 31/Jan/22 $$\underset{{x}\rightarrow+\infty} {\mathrm{lim}}\frac{{e}^{\frac{\mathrm{1}}{{x}}} −\mathrm{cos}\:\frac{\mathrm{1}}{{x}}}{\mathrm{1}−\sqrt{\mathrm{1}−\frac{\mathrm{1}}{{x}^{\mathrm{2}} }}} \\ $$$$\underset{{x}\rightarrow{a}} {\mathrm{lim}}\frac{{x}^{{x}} −{a}^{{a}} }{{x}−{a}} \\ $$ Answered by Mathspace last updated…
Question Number 99853 by Dwaipayan Shikari last updated on 23/Jun/20 $$\frac{\mathrm{1}}{\mathrm{1}^{\mathrm{2}} }+\frac{\mathrm{1}}{\mathrm{2}^{\mathrm{2}} }+\frac{\mathrm{1}}{\mathrm{3}^{\mathrm{2}} }+\frac{\mathrm{1}}{\mathrm{4}^{\mathrm{2}} }+\frac{\mathrm{1}}{\mathrm{6}^{\mathrm{2}} }+…..\infty=? \\ $$ Answered by smridha last updated on 23/Jun/20…
Question Number 165372 by LEKOUMA last updated on 31/Jan/22 $$\underset{{x}\rightarrow+\infty} {\mathrm{lim}ln}\:\left(\mathrm{1}+\mathrm{2}^{{x}} \right)\mathrm{ln}\:\left(\mathrm{1}+\frac{\mathrm{3}}{{x}}\right) \\ $$ Answered by Ar Brandon last updated on 31/Jan/22 $$\underset{{x}\rightarrow+\infty} {\mathrm{lim}ln}\left(\mathrm{1}+\mathrm{2}^{{x}} \right)\mathrm{ln}\left(\mathrm{1}+\frac{\mathrm{3}}{{x}}\right)…
Question Number 34275 by math khazana by abdo last updated on 03/May/18 $${nature}\:{of}\:\int_{\mathrm{0}} ^{\infty} \:{cos}\left({e}^{{x}} \right){dx}? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 34208 by Rio Mike last updated on 02/May/18 $$\:{the}\:\mathrm{15}^{{th}} \:{term}\:{of}\:{an}\:{AP}\:{is}\:\mathrm{34}\:{the}\: \\ $$$${sum}\:{of}\:{the}\:\mathrm{94}^{{th}} \:{to}\:\mathrm{100}^{{th}} \:{term}\:{is} \\ $$$$\mathrm{2000}\:{find}\:{the}\:\mathrm{2}^{{nd}} \:{term}\:{and}\:{the} \\ $$$${mean}\:{from}\:{the}\:{sixth}\:{term}\:{to}\:{the} \\ $$$$\mathrm{10}^{{th}} \:{term}\:{if}\:{the}\:\mathrm{100}^{{th}} \:{term}\:{is}…
Question Number 34202 by Rio Mike last updated on 02/May/18 $$\:\:{find}\:{the}\:{gradient}\:{of}\:{the}\:{curve} \\ $$$$\:\:\:\:{y}=\frac{\mathrm{1}}{{x}}. \\ $$ Answered by MJS last updated on 02/May/18 $$\mathrm{the}\:\mathrm{gradient}\:\mathrm{is}\:{y}' \\ $$$${y}=\frac{\mathrm{1}}{{x}}={x}^{−\mathrm{1}}…
Question Number 34184 by Rio Mike last updated on 02/May/18 $$\:{if}\:\alpha\:{and}\:\beta\:{are}\:{the}\:{roots}\:{of}\:{the}\:{equation} \\ $$$$\mathrm{3}{x}^{\mathrm{2}} +\:\frac{{x}}{\mathrm{2}}\:−\:\mathrm{4}=\:\mathrm{0}\:{find}\:{p}\:{is}\:\alpha−\beta\:{are} \\ $$$${the}\:{roots}\:{of}\:\:{x}^{\mathrm{2}} −{px}\:+\:\mathrm{7}\:=\mathrm{0} \\ $$ Commented by candre last updated on…
Question Number 34169 by Rio Mike last updated on 01/May/18 $$\:{if}\:{the}\:{sum}\:{S}_{\mathrm{4}} \:{of}\:{the}\:{first}\:\mathrm{4}\:{terms} \\ $$$${of}\:{a}\:{G}\:{P}\:{is}\:\mathrm{24}\:{and}\:{the}\:{sum}\:{S}_{\mathrm{6}} \:{of}\: \\ $$$${the}\:{first}\:\mathrm{6}\:{terms}\:{is}\:\mathrm{30}\:{find}\:{the}\: \\ $$$${first}\:{term}\:{and}\:{common}\:{ratio}.. \\ $$ Answered by MJS last…
Question Number 34159 by candre last updated on 01/May/18 $${let}\:{S}=\mathrm{1}+\mathrm{2}+…+\mathrm{2018} \\ $$$${compute}\:{S}\left(\mathrm{mod}\:\mathrm{2}\right)+{S}\left(\mathrm{mod8}\right)+{S}\left(\mathrm{mod2018}\right) \\ $$ Commented by Rasheed.Sindhi last updated on 05/May/18 $$\mathrm{S}=\left(\mathrm{1}+\mathrm{3}+\mathrm{5}+…+\mathrm{2017}\right)+\left(\mathrm{2}+\mathrm{4}+…+\mathrm{2018}\right) \\ $$$$\mathrm{Sum}\:\mathrm{of}\:\mathrm{even}\:\mathrm{numbers}\:\mathrm{is}\:\mathrm{even}\:\mathrm{number} \\…
Question Number 165229 by meternewsite last updated on 27/Jan/22 $$\underset{{i}=\mathrm{1}} {\overset{{n}=\infty} {\sum}}\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{xyn}^{{x}} }{{nx}_{\mathrm{1}} }{xz}\int\frac{{xn}^{{n}} {x}}{{nx}^{{n}} {y}}{dn} \\ $$$$\sqrt{{c}^{{n}} +{n}_{\mathrm{1}} } \\ $$$$\int\frac{{xn}^{{n}!} }{{n}^{{n}} {xn}^{{x}}…