Menu Close

Author: Tinku Tara

lim-x-0-lim-n-cos-x-2-cos-x-2-2-cos-x-2-n-

Question Number 226815 by CrispyXYZ last updated on 16/Dec/25 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\left(\underset{{n}\rightarrow\infty} {\mathrm{lim}}\left(\mathrm{cos}\:\frac{{x}}{\mathrm{2}}\:\mathrm{cos}\:\frac{{x}}{\mathrm{2}^{\mathrm{2}} }\:…\:\mathrm{cos}\:\frac{{x}}{\mathrm{2}^{{n}} }\right)\right)\:=\:? \\ $$ Answered by AgniMath last updated on 16/Dec/25 $${sin}\mathrm{2}\theta\:=\:\mathrm{2}{sin}\theta{cos}\theta \\…

Question-226850

Question Number 226850 by cherokeesay last updated on 17/Dec/25 Answered by TonyCWX last updated on 17/Dec/25 $${y}\:=\:{x}\left({x}−\mathrm{1}\right)\:\Rightarrow\:{x}\:=\:\mathrm{0}\:\mathrm{or}\:{x}\:=\:\mathrm{1} \\ $$$$\mathrm{A}>\mathrm{0},\:\mathrm{A}=\mathrm{1} \\ $$$$ \\ $$$${x}\left({x}−\mathrm{1}\right)\:=\:\frac{\mathrm{1}}{\mathrm{2}}{x} \\ $$$${x}^{\mathrm{2}}…

Evaluate-x-2-2x-1-2x-3-3x-2-2x-dx-

Question Number 226818 by Spillover last updated on 16/Dec/25 $${Evaluate} \\ $$$$\int\frac{{x}^{\mathrm{2}} +\mathrm{2}{x}−\mathrm{1}}{\mathrm{2}{x}^{\mathrm{3}} +\mathrm{3}{x}^{\mathrm{2}} −\mathrm{2}{x}}{dx} \\ $$ Answered by Frix last updated on 16/Dec/25 $$=\frac{\mathrm{1}}{\mathrm{2}}\int\frac{{dx}}{{x}}−\frac{\mathrm{1}}{\mathrm{10}}\int\frac{{dx}}{{x}+\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{5}}\int\frac{{dx}}{\mathrm{2}{x}−\mathrm{1}}=…