Question Number 69374 by mathmax by abdo last updated on 22/Sep/19 $${let}\:{S}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:\frac{\left(−\mathrm{1}\right)^{{k}} }{{k}} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{S}_{{n}} \:{interms}\:{of}\:{n} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{lim}_{{n}\rightarrow+\infty} \:{S}_{{n}} \\ $$ Commented…
Question Number 3654 by prakash jain last updated on 17/Dec/15 $${f}\left({xf}\left({y}\right)+{x}\right)={xy}+{f}\left({x}\right) \\ $$$${f}:\mathbb{R}\rightarrow\mathbb{R} \\ $$$${f}\left({x}\right)=? \\ $$ Commented by RasheedSindhi last updated on 18/Dec/15 $${f}\left({xf}\left({y}\right)+{x}\right)={xy}+{f}\left({x}\right)….\left({i}\right)…
Question Number 3653 by prakash jain last updated on 17/Dec/15 $${f}:\mathbb{R}\rightarrow\mathbb{R} \\ $$$${f}\left({x}−{f}\left({y}\right)\right)={f}\left({f}\left({y}\right)\right)+{xf}\left({y}\right)+{f}\left({x}\right)−\mathrm{1} \\ $$$${f}\left({x}\right)=? \\ $$ Commented by Rasheed Soomro last updated on 18/Dec/15…
Question Number 69173 by ozodbek last updated on 21/Sep/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 134630 by mathmax by abdo last updated on 06/Mar/21 $$\mathrm{find}\:\mathrm{the}\:\mathrm{sequence}\:\mathrm{u}_{\mathrm{n}} \mathrm{wich}\:\mathrm{verify}\:\mathrm{u}_{\mathrm{n}} +\mathrm{u}_{\mathrm{n}+\mathrm{1}} =\mathrm{cosn} \\ $$ Answered by mathmax by abdo last updated on…
Question Number 134506 by bemath last updated on 04/Mar/21 $$\mathrm{Given}\:\mathrm{g}\left(\mathrm{x}\right)\:=\:\frac{\mathrm{x}+\mathrm{11}}{\mathrm{x}−\mathrm{1}}\:;\:\mathrm{x}\neq\mathrm{1}\: \\ $$$$\mathrm{If}\:\mathrm{f}\left(\mathrm{x}\right)+\mathrm{8}\left(\mathrm{f}\circ\mathrm{g}\right)\left(\mathrm{x}\right)=\:\mathrm{15}−\mathrm{x}\:,\:\mathrm{find} \\ $$$$\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{f}\left(\mathrm{13}\right). \\ $$ Answered by EDWIN88 last updated on 04/Mar/21 $$\mathrm{first}\:\mathrm{step}\:,\:\mathrm{we}\:\mathrm{must}\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\begin{cases}{\mathrm{g}\left(\mathrm{2}\right)}\\{\mathrm{g}\left(\mathrm{13}\right)}\end{cases} \\…
Question Number 68872 by mathmax by abdo last updated on 16/Sep/19 $${solve}\:\:\:\left({x}^{\mathrm{3}} +\mathrm{1}\right){y}^{'} \:+\left(\mathrm{2}{x}+\mathrm{3}\right){y}\:={x}\:{cos}\left(\mathrm{2}{x}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 68873 by mathmax by abdo last updated on 16/Sep/19 $${solve}\:\:\:\left({x}^{\mathrm{3}} +\mathrm{1}\right){y}^{'} \:+\left(\mathrm{2}{x}+\mathrm{3}\right){y}\:={x}\:{cos}\left(\mathrm{2}{x}\right) \\ $$ Commented by mathmax by abdo last updated on 20/Sep/19…
Question Number 68871 by mathmax by abdo last updated on 16/Sep/19 $${let}\:{f}\left({x}\right)={e}^{−{arctan}\left(\frac{\mathrm{2}}{\:\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}}\right)} \:\: \\ $$$$\left.\mathrm{1}\right){calculate}\:{f}^{'} \left({x}\right) \\ $$$$\left.\mathrm{2}\right){give}\:{the}\:{equation}\:{of}\:{tangente}\:{to}\:{graph}\:{C}_{{f}} {at}\:{point}\:{A}\left(\mathrm{1},{f}\left(\mathrm{1}\right)\right) \\ $$ Terms of Service…
Question Number 3156 by prakash jain last updated on 06/Dec/15 $$\Gamma\left(−\mathrm{2}{n}\right)\zeta\left(−\mathrm{2}{n}\right)=? \\ $$$${n}\in\mathbb{Z}^{+} \\ $$ Commented by prakash jain last updated on 06/Dec/15 $$\mathrm{Wolfram}\:\mathrm{alpha} \\…