Question Number 143184 by bramlexs22 last updated on 11/Jun/21 $$\:\:\:\:\frac{\mathrm{10}}{\mathrm{25}}+\frac{\mathrm{28}}{\mathrm{125}}+\frac{\mathrm{82}}{\mathrm{625}}+…\:=\:? \\ $$ Answered by Canebulok last updated on 11/Jun/21 $$\boldsymbol{{Solution}}: \\ $$$${In}\:{terms}\:{of}\:{summation}, \\ $$$$\Rightarrow\:\underset{{n}=\mathrm{1}} {\overset{\infty}…
Question Number 77651 by ajfour last updated on 08/Jan/20 Commented by ajfour last updated on 08/Jan/20 $${Wish}\:{to}\:{know}\:{s}\:{in}\:{terms}\:{of}\:{x},{R}. \\ $$$${s}={AC},\:\:{x}={AB},\:{BP}=\mathrm{1}. \\ $$ Commented by mr W…
Question Number 143186 by zakirullah last updated on 11/Jun/21 Commented by Canebulok last updated on 11/Jun/21 Proof: ⇒ n(n^2 +2n−8) = 0 ⇒ n(n+4)(n−2) = 0 Thus; n = 0 n = −4 n = 2 Commented by zakirullah last updated on 11/Jun/21 $$\mathrm{thank}\:\mathrm{you}…
Question Number 12111 by FilupS last updated on 13/Apr/17 $$\mathrm{show}\:\mathrm{that}: \\ $$$$\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}} }{{n}!}=\frac{\mathrm{1}}{{e}} \\ $$$$\mathrm{please}\:\mathrm{show}\:\mathrm{your}\:\mathrm{working} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 12109 by FilupS last updated on 13/Apr/17 $$\mathrm{show}\:\mathrm{that}: \\ $$$$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}+\mathrm{1}} }{{n}}=\mathrm{ln}\left(\mathrm{2}\right) \\ $$$$\mathrm{please}\:\mathrm{show}\:\mathrm{your}\:\mathrm{working} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 12107 by Joel576 last updated on 13/Apr/17 $$\mathrm{10}^{\mathrm{3}} \:+\:\mathrm{11}^{\mathrm{3}} \:+\:\mathrm{12}^{\mathrm{3}} \:+\:…\:+\:\mathrm{20}^{\mathrm{3}} \\ $$$$\mathrm{Is}\:\mathrm{there}\:\mathrm{any}\:\mathrm{ways}\:\mathrm{to}\:\mathrm{count}\:\mathrm{the}\:\mathrm{sum}\: \\ $$$$\mathrm{of}\:\mathrm{that}\:\mathrm{sequence}\:\mathrm{without}\:\mathrm{sum}\:\mathrm{them}\:\mathrm{manually}? \\ $$ Commented by FilupS last updated on…
Question Number 12106 by tawa last updated on 13/Apr/17 Answered by FilupS last updated on 13/Apr/17 $$\Sigma{a}_{{n}} \:\mathrm{diverges}\:\mathrm{if}:\:\:\:\:\underset{{n}\rightarrow\infty} {\mathrm{lim}}\:{a}_{{n}} \neq\mathrm{0} \\ $$$$\Sigma{ca}_{{n}} ={c}\Sigma{a}_{{n}} \\ $$$$\therefore{c}\Sigma{a}_{{n}}…
Question Number 143178 by Ar Brandon last updated on 10/Jun/21 $$\int_{\mathrm{1}} ^{\infty} \frac{\mathrm{x2}^{\mathrm{x}} +\mathrm{7}}{\mathrm{3}^{\mathrm{x}} +\mathrm{lnx}+\mathrm{1}}\mathrm{dx} \\ $$ Commented by Dwaipayan Shikari last updated on 11/Jun/21…
Question Number 12103 by Nayon last updated on 13/Apr/17 $${Evaluate}\:\int\frac{{ln}\left(\mathrm{1}+{x}\right)}{\mathrm{1}+{x}^{\mathrm{2}} }{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 12102 by Nayon last updated on 13/Apr/17 $${Evaluate}\:\int\frac{\mathrm{1}}{{cos}^{\mathrm{2}} \left({x}\right)}{dx} \\ $$ Answered by sma3l2996 last updated on 13/Apr/17 $${A}=\int\frac{\mathrm{1}}{{cos}^{\mathrm{2}} {x}}{dx}={tan}\left({x}\right)+{C} \\ $$ Answered…