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Category: Relation and Functions

calculate-lim-x-0-ln-x-sinx-x-2-

Question Number 136029 by mathmax by abdo last updated on 18/Mar/21 $$\mathrm{calculate}\:\mathrm{lim}_{\mathrm{x}\rightarrow\mathrm{0}} \:\frac{\mathrm{ln}\left(\frac{\mathrm{x}}{\mathrm{sinx}}\right)}{\mathrm{x}^{\mathrm{2}} } \\ $$ Answered by liberty last updated on 18/Mar/21 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{ln}\:{x}−\mathrm{ln}\:\mathrm{sin}\:{x}}{{x}^{\mathrm{2}}…

study-the-sequence-U-n-1-u-n-1-2-with-u-0-1-2-and-determine-lim-n-U-n-

Question Number 136031 by mathmax by abdo last updated on 18/Mar/21 $$\mathrm{study}\:\mathrm{the}\:\mathrm{sequence}\:\:\mathrm{U}_{\mathrm{n}} =\sqrt{\frac{\mathrm{1}+\mathrm{u}_{\mathrm{n}−\mathrm{1}} }{\mathrm{2}}} \\ $$$$\mathrm{with}\:\mathrm{u}_{\mathrm{0}} =\frac{\mathrm{1}}{\mathrm{2}}\:\mathrm{and}\:\mathrm{determine}\:\mathrm{lim}_{\mathrm{n}\rightarrow+\infty} \mathrm{U}_{\mathrm{n}} \\ $$ Answered by mindispower last updated…

sove-y-2y-2-xe-x-sin-2x-with-y-0-1-and-y-0-1-

Question Number 136025 by mathmax by abdo last updated on 18/Mar/21 $$\mathrm{sove}\:\mathrm{y}^{''} +\mathrm{2y}−\mathrm{2}\:=\mathrm{xe}^{−\mathrm{x}} \mathrm{sin}\left(\mathrm{2x}\right)\:\:\mathrm{with}\:\mathrm{y}\left(\mathrm{0}\right)=\mathrm{1}\:\mathrm{and}\:\mathrm{y}^{'} \left(\mathrm{0}\right)=−\mathrm{1} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

1-decompose-F-x-x-2-3-x-2-1-2-x-2-3-2-determine-F-x-dx-

Question Number 136024 by mathmax by abdo last updated on 18/Mar/21 $$\left.\mathrm{1}\right)\:\mathrm{decompose}\:\mathrm{F}\left(\mathrm{x}\right)=\frac{\mathrm{x}^{\mathrm{2}} −\mathrm{3}}{\left(\mathrm{x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{2}} \left(\mathrm{x}−\mathrm{2}\right)^{\mathrm{3}} } \\ $$$$\left.\mathrm{2}\right)\mathrm{determine}\:\int\:\mathrm{F}\left(\mathrm{x}\right)\mathrm{dx} \\ $$ Commented by yutytfjh67ihd last updated…

1-decompose-inside-C-x-the-fraction-F-x-1-x-2-1-n-2-find-1-dx-x-2-1-n-

Question Number 136022 by mathmax by abdo last updated on 18/Mar/21 $$\left.\mathrm{1}\right)\mathrm{decompose}\:\mathrm{inside}\:\mathrm{C}\left(\mathrm{x}\right)\:\mathrm{the}\:\mathrm{fraction}\:\mathrm{F}\left(\mathrm{x}\right)=\frac{\mathrm{1}}{\left(\mathrm{x}^{\mathrm{2}} \:+\mathrm{1}\right)^{\mathrm{n}} } \\ $$$$\left.\mathrm{2}\right)\:\mathrm{find}\:\int_{\mathrm{1}} ^{\infty} \:\frac{\mathrm{dx}}{\left(\mathrm{x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{n}} } \\ $$ Terms of Service…

Determine-the-smallest-natural-value-of-n-so-the-function-y-5x-sin-5nx-will-be-even-

Question Number 4904 by love math last updated on 20/Mar/16 $${Determine}\:{the}\:{smallest}\:{natural} \\ $$$${value}\:{of}\:{n},\:{so}\:{the}\:{function}\: \\ $$$${y}=\:\mathrm{5}{x}\:{sin}\:\mathrm{5}{nx}\:{will}\:{be}\:{even}. \\ $$ Commented by Yozzii last updated on 20/Mar/16 $${y}\left(−{x}\right)=\mathrm{5}\left(−{x}\right){sin}\left(−\mathrm{5}{nx}\right)…

If-f-x-is-a-Continous-and-odd-function-Then-is-f-0-0-

Question Number 4873 by prakash jain last updated on 18/Mar/16 $$\mathrm{If}\:{f}\left({x}\right)\:\mathrm{is}\:\mathrm{a}\:\mathrm{Continous}\:\mathrm{and}\:\mathrm{odd}\:\mathrm{function}. \\ $$$$\mathrm{Then}\:\mathrm{is}\:{f}\left(\mathrm{0}\right)=\mathrm{0}? \\ $$ Commented by prakash jain last updated on 18/Mar/16 $$\mathrm{Thanks}.\:\mathrm{That}\:\mathrm{is}\:\mathrm{what}\:\mathrm{I}\:\mathrm{thought}\:\mathrm{but}\:\mathrm{couldn}'\mathrm{t}\:\mathrm{think}\:\mathrm{of} \\…