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Question-109141

Question Number 109141 by mathdave last updated on 21/Aug/20 Answered by Dwaipayan Shikari last updated on 21/Aug/20 $$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\mathrm{2}^{{n}} {n}}=\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{2}^{\mathrm{2}} }.\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{2}^{\mathrm{3}} .\mathrm{3}}+….=−{log}\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{2}}\right)={log}\left(\mathrm{2}\right) \\ $$…

find-the-domain-and-range-of-tbe-following-1-y-cot-2x-1-2-y-sin-x-3-y-cosx-4-y-cos-cosx-5-y-cscx-1-6-y-sin-sinx-

Question Number 174665 by mokys last updated on 07/Aug/22 $${find}\:{the}\:{domain}\:{and}\:{range}\:{of}\:{tbe}\:{following} \\ $$$$ \\ $$$$\left.\mathrm{1}\right)\:{y}\:=\:{cot}\left(\mathrm{2}{x}+\mathrm{1}\right) \\ $$$$\left.\mathrm{2}\right)\:{y}\:=\:{sin}\mid{x}\mid \\ $$$$\left.\mathrm{3}\right)\:\mid{y}\mid\:=\:{cosx} \\ $$$$\left.\mathrm{4}\right)\:{y}\:=\:{cos}\left({cosx}\right) \\ $$$$\left.\mathrm{5}\right)\:{y}\:=\mid{cscx}\mid\:−\mathrm{1} \\ $$$$\left.\mathrm{6}\right)\:{y}\:=\:{sin}\left({sinx}\right) \\…