Question Number 19271 by Joel577 last updated on 08/Aug/17 $$\underset{{x}\rightarrow\pi} {\mathrm{lim}}\:\left(\mathrm{2}\:−\:\mathrm{cos}^{\mathrm{2}} \:{x}\right)^{\frac{\mathrm{2}\sqrt{\mathrm{2}\left(\mathrm{1}\:+\:\mathrm{cos}\:{x}\right)}}{\left({x}\:−\:\pi\right)^{\mathrm{3}} }} \\ $$ Answered by ajfour last updated on 09/Aug/17 $$=\underset{{x}\rightarrow\pi} {\mathrm{lim}}\left\{\left[\mathrm{1}+\mathrm{sin}\:^{\mathrm{2}} \left(\pi−\mathrm{x}\right)\right]^{\frac{\mathrm{1}}{\mathrm{sin}\:^{\mathrm{2}}…
Question Number 84600 by john santu last updated on 14/Mar/20 $$\underset{{x}\rightarrow\infty\:} {\mathrm{lim}}\:{x}\sqrt{\frac{{x}−\mathrm{1}}{\mathrm{9}{x}+\mathrm{2}}}\:−\:\frac{{x}}{\mathrm{3}} \\ $$ Commented by jagoll last updated on 14/Mar/20 $$\mathrm{nice}\:\mathrm{mister} \\ $$ Commented…
Question Number 84568 by jagoll last updated on 14/Mar/20 $$\mathrm{without}\:\mathrm{L}'\mathrm{hopital} \\ $$$$\underset{{x}\rightarrow−\frac{\mathrm{1}}{\mathrm{2}}} {\mathrm{lim}}\:\frac{\mathrm{2x}^{\mathrm{3}} +\mathrm{3x}^{\mathrm{2}} −\sqrt{\mathrm{a}+\mathrm{bx}}}{\mathrm{4x}^{\mathrm{2}} −\mathrm{1}}\:=\:−\frac{\mathrm{3}}{\mathrm{4}} \\ $$$$\mathrm{find}\:\mathrm{a}+\mathrm{b} \\ $$ Commented by john santu last…
Question Number 84492 by john santu last updated on 13/Mar/20 $$\underset{{x}\rightarrow\frac{\pi}{\mathrm{3}}} {\mathrm{lim}}\:\frac{\mathrm{sin}\:\left({x}−\frac{\pi}{\mathrm{3}}\right)}{\mathrm{1}−\mathrm{2cos}\:\left({x}\right)}\:=\: \\ $$ Commented by john santu last updated on 13/Mar/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{sin}\:\left({x}\right)}{\mathrm{1}−\mathrm{2cos}\:\left({x}+\frac{\pi}{\mathrm{3}}\right)}\:= \\…
Question Number 84460 by jagoll last updated on 13/Mar/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{sin}\:\left(\mathrm{2}+\mathrm{x}\right)−\mathrm{sin}\:\left(\mathrm{2}−\mathrm{x}\right)}{\mathrm{x}} \\ $$ Commented by jagoll last updated on 13/Mar/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{cos}\:\left(\mathrm{2}+\mathrm{x}\right)+\mathrm{cos}\:\left(\mathrm{2}−\mathrm{x}\right)}{\mathrm{1}} \\ $$$$=\:\mathrm{2cos}\:\mathrm{2} \\…
Question Number 18854 by 3+4 last updated on 30/Jul/17 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}sin}\:\underset{\mathrm{x}} {\mathrm{x}}\:\:\:\:=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 84377 by john santu last updated on 12/Mar/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\sqrt{\mathrm{1}+\mathrm{tan}\:\mathrm{x}}−\sqrt{\mathrm{1}+\mathrm{sin}\:\mathrm{x}}}{\mathrm{x}^{\mathrm{2}} \mathrm{sin}\:\mathrm{x}} \\ $$ Answered by john santu last updated on 12/Mar/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}+\mathrm{tan}\:\mathrm{x}}+\sqrt{\mathrm{1}+\mathrm{sin}\:\mathrm{x}}}\:×\:\underset{{x}\rightarrow\mathrm{0}}…
Question Number 84367 by bagjamath last updated on 12/Mar/20 $$ \\ $$$$ \\ $$$$ \\ $$$$\mathrm{Given}\:\mathrm{the}\:\mathrm{squence}\:\mathrm{of}\:\mathbb{R} \\ $$$$\left({x}_{{n}} \right).\:{If}\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}{x}_{{k}} <\infty, \\ $$$${Find} \\…
Question Number 84364 by jagoll last updated on 12/Mar/20 $$\underset{{x}\rightarrow\pi} {\mathrm{lim}}\:\frac{\sqrt{\pi}−\sqrt{\pi+\mathrm{4x}}}{\mathrm{cos}\:\left(\frac{\pi\left(\mathrm{x}+\mathrm{1}\right)}{\mathrm{2}}\right)}\:=\:? \\ $$ Answered by john santu last updated on 12/Mar/20 $$\sqrt{\pi}\:×\:\underset{{x}\rightarrow\pi} {\mathrm{lim}}\:\frac{\mathrm{1}−\sqrt{\mathrm{1}+\frac{\mathrm{4x}}{\pi}}}{−\mathrm{sin}\:\left(\frac{\pi\mathrm{x}}{\mathrm{2}}\right)}\:= \\ $$$$−\sqrt{\pi}\:×\:\underset{{x}\rightarrow\pi}…
Question Number 149886 by liberty last updated on 08/Aug/21 $$\:\underset{{x}\rightarrow\mathrm{0}^{+} } {\mathrm{lim}}\frac{\mathrm{ln}\:^{\mathrm{2}} \left(\mathrm{x}\right)}{\mathrm{x}^{\mathrm{2}} }\left(\frac{\mathrm{ln}\:\left(\mathrm{sin}\:\left(\frac{\mathrm{x}}{\mathrm{2}}\right)\right)}{\mathrm{ln}\:\left(\mathrm{sin}\:\left(\mathrm{x}\right)\right)}\:+\frac{\mathrm{ln}\:\mathrm{2}}{\mathrm{ln}\:\left(\mathrm{x}\right)}\right)\:=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com