Question Number 94659 by msup by abdo last updated on 20/May/20 $${calculate}\:{lim}_{{n}\rightarrow+\infty} \int_{\mathrm{0}} ^{\infty} \:\left(\mathrm{1}−\frac{{t}}{{n}}\right)^{{n}} \:{e}^{−\mathrm{3}{t}} \:{dt} \\ $$ Answered by mathmax by abdo last…
Question Number 94654 by msup by abdo last updated on 20/May/20 $${prove}\:{that}\:\sum_{{i}=\mathrm{1}} ^{{n}} \:{x}_{{i}} {y}_{{i}} \leqslant\left(\sum_{{i}=\mathrm{1}} ^{{n}} {x}_{{i}} ^{\mathrm{2}} \right)^{\frac{\mathrm{1}}{\mathrm{2}}} \left(\sum_{{i}=\mathrm{1}} ^{{n}} {y}_{{i}} ^{\mathrm{2}} \right)^{\frac{\mathrm{1}}{\mathrm{2}}}…
Question Number 94657 by msup by abdo last updated on 20/May/20 $${let}\:{u}_{{n}} \:=\sum_{{k}=\mathrm{1}} ^{{n}} \frac{\mathrm{1}}{\left(^{{p}} \sqrt{{k}}\right)} \\ $$$${detetmine}\:{a}\:{equivalent}\:{of}\:{u}_{{n}} \\ $$$$\left({n}\rightarrow+\infty\right) \\ $$$$ \\ $$ Terms…
Question Number 94655 by msup by abdo last updated on 20/May/20 $${solve}\:\left(\mathrm{1}+{nz}\right)^{{p}} +\left(\mathrm{1}−{nz}\right)^{{p}} \:=\mathrm{0} \\ $$$${n}\:{and}\:{p}\:{ontegr}\:{natural} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 94652 by msup by abdo last updated on 20/May/20 $${find}\:{lim}_{\xi\rightarrow\mathrm{0}} \:\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\:\:\frac{{sin}\left(\xi{x}\right)}{\:\sqrt{\mathrm{1}+\xi{x}^{\mathrm{2}} }−\sqrt{\mathrm{1}−\xi{x}^{\mathrm{2}} }}{dx} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 94648 by msup by abdo last updated on 20/May/20 $${find}\:{a}\:{equivslent}\:{for} \\ $$$${u}_{{n}} =\mathrm{1}\:+\mathrm{2}^{\alpha} \:+\mathrm{3}^{\alpha} \:+….+{n}^{\alpha} \\ $$$${n}\rightarrow+\infty\:\:\:\:\:\:\:\:\:\left(\alpha>\mathrm{0}\right) \\ $$ Terms of Service Privacy…
Question Number 94650 by msup by abdo last updated on 20/May/20 $${let}\:{f}\left({x}\right)\:=\left({x}+\mathrm{1}\right)^{\mathrm{9}} \:{e}^{−\mathrm{3}{x}} \\ $$$${calculstr}\:{f}^{\left(\mathrm{7}\right)} \left(\mathrm{0}\right)\:{and}\:{f}^{\left(\mathrm{5}\right)} \left(\mathrm{1}\right) \\ $$ Commented by i jagooll last updated…
Question Number 29080 by abdo imad last updated on 04/Feb/18 $${let}\:{give}\:{a}>\mathrm{0}\:{study}\:{the}\:{convergence}\:{of}\:\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:{a}^{{H}_{{n}} } \:\: \\ $$$${with}\:{H}_{{n}} =\:\sum_{{k}=\mathrm{1}} ^{{n}} \:\:\frac{\mathrm{1}}{{k}}. \\ $$ Answered by 9405200657…
Question Number 160136 by alcohol last updated on 25/Nov/21 $$\mathrm{1}+\mathrm{4}+\frac{\mathrm{16}}{\mathrm{2}}+\frac{\mathrm{64}}{\mathrm{6}}+…+\frac{\mathrm{4}^{{n}} }{{n}!}=? \\ $$ Answered by puissant last updated on 25/Nov/21 $${S}_{{n}} =\mathrm{1}+\mathrm{4}+\frac{\mathrm{16}}{\mathrm{2}}+\frac{\mathrm{64}}{\mathrm{6}}+….+\frac{\mathrm{4}^{{n}} }{{n}!}\:=\:\underset{{k}=\mathrm{0}} {\overset{{n}} {\sum}}\frac{\mathrm{4}^{{k}}…
Question Number 29030 by abdo imad last updated on 03/Feb/18 $${find}\:\:\sum_{{n}=\mathrm{0}} ^{\infty} \:\:\:\:\frac{{t}^{\mathrm{3}{n}} }{\left(\mathrm{3}{n}\right)!}\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com