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Question-72608

Question Number 72608 by aliesam last updated on 30/Oct/19 Answered by mind is power last updated on 30/Oct/19 $$\mathrm{s}\left(\mathrm{x}\right)=\mathrm{n}\Rightarrow\mathrm{x}\in\left[\mathrm{10}^{\mathrm{n}−\mathrm{1}} ,\mathrm{10}^{\mathrm{n}} \left[\right.\right. \\ $$$$\mathrm{s}\left(\mathrm{y}\right)=\mathrm{m}\Rightarrow\mathrm{y}\in\left[\mathrm{10}^{\mathrm{m}−\mathrm{1}} ,\mathrm{10}^{\mathrm{m}} \left[\right.\right.…

lim-x-0-cos-sin-x-cos-x-x-4-

Question Number 138140 by liberty last updated on 10/Apr/21 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{cos}\:\left(\mathrm{sin}\:{x}\right)−\mathrm{cos}\:{x}}{{x}^{\mathrm{4}} }=? \\ $$ Answered by EDWIN88 last updated on 10/Apr/21 $$\:{recall}\:\mathrm{cos}\:{A}−\mathrm{cos}\:{B}\:=\:\mathrm{2sin}\:\left(\frac{{B}−{A}}{\mathrm{2}}\right)\mathrm{sin}\:\left(\frac{{A}+{B}}{\mathrm{2}}\right) \\ $$$${so}\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{2sin}\:\left(\frac{{x}−\mathrm{sin}\:{x}}{\mathrm{2}}\right)\mathrm{sin}\:\left(\frac{{x}+\mathrm{sin}\:{x}}{\mathrm{2}}\right)}{{x}^{\mathrm{4}}…

let-A-1-1-2-3-1-calculate-e-A-and-e-tA-2-find-cosA-sinA-3-find-log-1-A-

Question Number 138133 by mathmax by abdo last updated on 10/Apr/21 $$\mathrm{let}\:\mathrm{A}\:=\begin{pmatrix}{\mathrm{1}\:\:\:\:\:\:\:\:\:\:−\mathrm{1}}\\{\mathrm{2}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{3}}\end{pmatrix} \\ $$$$\left.\mathrm{1}\right)\mathrm{calculate}\:\mathrm{e}^{\mathrm{A}} \:\:\:\:\mathrm{and}\:\mathrm{e}^{\mathrm{tA}} \\ $$$$\left.\mathrm{2}\right)\mathrm{find}\:\mathrm{cosA}\:\:,\mathrm{sinA} \\ $$$$\left.\mathrm{3}\right)\:\mathrm{find}\:\mathrm{log}\left(\mathrm{1}+\mathrm{A}\right) \\ $$ Terms of Service Privacy…