Category: Relation and Functions

Question Number 34687 by math khazana by abdo last updated on 09/May/18 $${calculate}\:\sum_{{n}=\mathrm{2}} ^{\infty} \:\:\left(\frac{\mathrm{1}}{\:\sqrt{{n}−\mathrm{1}}}\:+\:\frac{\mathrm{1}}{\:\sqrt{{n}+\mathrm{1}}}\:−\frac{\mathrm{2}}{\:\sqrt{{n}}}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 34684 by math khazana by abdo last updated on 09/May/18 $${let}\:{U}_{{n}} =\:\frac{\pi}{\mathrm{4}}\:−\sum_{{k}=\mathrm{0}} ^{{n}} \:\frac{\left(−\mathrm{1}\right)^{{k}} }{\mathrm{2}{k}+\mathrm{1}} \\ $$$${calcilate}\:\sum_{{n}=\mathrm{0}} ^{\infty} \:{U}_{{n}} \\ $$ Terms of…

Question Number 34679 by math khazana by abdo last updated on 09/May/18 $${let}\:{f}\left({x}\right)\:=\:\:\frac{{x}}{\mathrm{4}{x}^{\mathrm{2}} \:−\mathrm{1}} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{f}^{\left({n}\right)} \left({x}\right)\:{and}\:\:{f}^{\left({n}\right)} \left(\mathrm{0}\right) \\ $$$$\left.\mathrm{2}\right)\:{developp}\:{f}\:{at}\:{ontegr}\:{serie}\:. \\ $$ Terms of Service…

Question Number 34676 by math khazana by abdo last updated on 09/May/18 $${prove}\:{that}\:\:\sum_{{k}=\mathrm{0}} ^{\mathrm{2}{n}−\mathrm{1}} \:\:\frac{\left(−\mathrm{1}\right)^{{k}} }{{k}+\mathrm{1}}\:=\sum_{{k}={n}+\mathrm{1}} ^{\mathrm{2}{n}} \:\:\frac{\mathrm{1}}{{k}} \\ $$ Terms of Service Privacy Policy…

Question Number 34672 by math khazana by abdo last updated on 09/May/18 $${prove}\:{that}\:\forall{n}\in{N}\:\:\:\mid{sin}\left({nx}\right)\mid\leqslant{n}\mid{sinx}\mid\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com