Question Number 4505 by Yozzii last updated on 03/Feb/16 Commented by Yozzii last updated on 03/Feb/16 $$\bigtriangleup{ACD}\:{and}\:\bigtriangleup{DBE}\:{are}\:{equilateral}. \\ $$$${F}\:{is}\:{the}\:{midpoint}\:{of}\:{AE}\:{and}\:{G}\:{is}\:{the} \\ $$$${midpoint}\:{of}\:{BC}.\:{D}\:{is}\:{a}\:{point}\:{on}\:{the} \\ $$$${line}\:{AB}.\:{Prove}\:{that}\:\bigtriangleup{FGD}\:{is}\: \\ $$$${equilateral}.\:…
Question Number 135573 by malwan last updated on 14/Mar/21 $$ \\ $$ Commented by malwan last updated on 14/Mar/21 $${happy}\:{pi}\:{day} \\ $$ Commented by malwan…
Question Number 135572 by learner001 last updated on 14/Mar/21 $${does}\:{the}\:{sequence}\:\left\{{a}_{{n}} \right\}\:{defined}\:{by},\:{a}_{{n}} =\begin{cases}{\mathrm{0},\:{if}\:{n}\:{is}\:{odd}}\\{\frac{\mathrm{1}}{{n}},\:{if}\:{n}\:{is}\:{even}}\end{cases}\:\:\:{converge}. \\ $$ Answered by dhgt last updated on 05/May/21 Terms of Service Privacy…
Question Number 4502 by #na last updated on 02/Feb/16 $$\frac{\mathrm{4}}{{x}−\mathrm{1}}−\frac{\mathrm{2}{x}}{{x}^{\mathrm{2}} +\mathrm{1}}−\frac{\mathrm{2}}{{x}+\mathrm{1}}+\frac{\mathrm{6}}{\mathrm{1}−{x}^{\mathrm{2}} } \\ $$ Answered by Rasheed Soomro last updated on 02/Feb/16 $$\frac{\mathrm{4}}{{x}−\mathrm{1}}−\frac{\mathrm{2}{x}}{{x}^{\mathrm{2}} +\mathrm{1}}−\frac{\mathrm{2}}{{x}+\mathrm{1}}−\frac{\mathrm{6}}{\left({x}−\mathrm{1}\right)\left({x}+\mathrm{1}\right)} \\…
Question Number 4500 by FilupSmith last updated on 02/Feb/16 $$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\:\frac{{n}!}{{n}^{{n}} }={L} \\ $$$$ \\ $$$$\mathrm{Solve}\:\mathrm{for}\:{L} \\ $$ Commented by Yozzii last updated on 02/Feb/16…
Question Number 70035 by TawaTawa last updated on 30/Sep/19 Commented by TawaTawa last updated on 30/Sep/19 Commented by mr W last updated on 30/Sep/19 $${let}\:{x}={XP}…
Question Number 135571 by bemath last updated on 14/Mar/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underset{{k}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{{k}}{\left({k}+\mathrm{1}\right)^{\mathrm{2}} +\mathrm{8}}\:=? \\ $$ Commented by EDWIN88 last updated on 14/Mar/21 $$\mathrm{i}\:\mathrm{guess}\:\mathrm{the}\:\mathrm{series}\:\mathrm{should}\:\mathrm{be}\:\underset{\mathrm{k}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\mathrm{k}}{\left(\mathrm{k}^{\mathrm{2}}…
Question Number 135570 by bemath last updated on 14/Mar/21 $${Geometry} \\ $$If the area of the triangle formed by the positive x-axis, the normal and…
Question Number 4496 by FilupSmith last updated on 01/Feb/16 $$\mathrm{This}\:\mathrm{is}\:\mathrm{a}\:\mathrm{simple}\:\mathrm{question}\:\mathrm{but}\:\mathrm{for}\:\mathrm{some} \\ $$$$\mathrm{silly}\:\mathrm{reason}\:\mathrm{I}\:\mathrm{can}'\mathrm{t}\:\mathrm{figure}\:\mathrm{it}\:\mathrm{out}… \\ $$$$ \\ $$$$\mathrm{1}. \\ $$$$\mathrm{If}\:\mathrm{I}\:\mathrm{have}\:\mathrm{a}\:\mathrm{circle}\:\mathrm{with}\:\mathrm{radius}\:{r}\:\mathrm{and} \\ $$$$\mathrm{area}\:{A},\:\mathrm{and}\:\mathrm{I}\:\mathrm{wish}\:\mathrm{to}\:\mathrm{make}\:\mathrm{a}\:\mathrm{new}\:\mathrm{circle}\:\mathrm{with} \\ $$$${n}\:\mathrm{times}\:\mathrm{the}\:\mathrm{area},\:\mathrm{for}\:\mathrm{what}\:\mathrm{new}\:\mathrm{value} \\ $$$$\mathrm{of}\:{r}\:\mathrm{should}\:\mathrm{be}\:\mathrm{used}? \\…
Question Number 70030 by Joel122 last updated on 30/Sep/19 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{convergence}\:\mathrm{of} \\ $$$$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\frac{\mathrm{1}}{{n}}\:+\:\mathrm{1}}{−{n}^{\mathrm{2}} } \\ $$ Answered by mind is power last updated on…