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Category: Limits

lim-x-0-6-x-36-x-2-4-x-9-

Question Number 187598 by horsebrand11 last updated on 19/Feb/23 $$\:\underset{{x}\rightarrow\mathrm{0}^{+} } {\mathrm{lim}}\frac{\mathrm{6}}{{x}}−\sqrt{\frac{\mathrm{36}}{{x}^{\mathrm{2}} }+\frac{\mathrm{4}}{{x}}+\mathrm{9}}\:=? \\ $$ Answered by cortano12 last updated on 19/Feb/23 $$\:\:{L}=\underset{{x}\rightarrow\mathrm{0}^{+} } {\mathrm{lim}}\:\frac{\mathrm{6}}{{x}}\:−\frac{\mathrm{1}}{{x}}\sqrt{\mathrm{36}+\mathrm{4}{x}+\mathrm{9}{x}^{\mathrm{2}}…

1-lim-x-0-2-cos-x-x-3-sin-x-3-x-4-2-lim-x-1-3-5x-3-2x-2-3-sin-pix-

Question Number 121958 by bemath last updated on 13/Nov/20 $$\:\left(\mathrm{1}\right)\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\left(\frac{\mathrm{2}+\mathrm{cos}\:{x}}{{x}^{\mathrm{3}} \:\mathrm{sin}\:{x}}\:−\:\frac{\mathrm{3}}{{x}^{\mathrm{4}} }\:\right)=? \\ $$$$\:\left(\mathrm{2}\right)\:\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\:\frac{\mathrm{3}^{\mathrm{5}{x}} \:−\:\mathrm{3}^{\mathrm{2}{x}^{\mathrm{2}} +\mathrm{3}} }{\mathrm{sin}\:\left(\pi{x}\right)}\:=?\: \\ $$ Answered by liberty last…

p-x-2-p-x-p-k-0-p-k-1-2-find-p-x-

Question Number 121833 by 676597498 last updated on 12/Nov/20 $$\mathrm{p}\left(\mathrm{x}+\mathrm{2}\right)=\mathrm{p}\left(\mathrm{x}\right) \\ $$$$\mathrm{p}\left(\mathrm{k}\right)=\mathrm{0} \\ $$$$\mathrm{p}\left(\mathrm{k}+\mathrm{1}\right)=\mathrm{2} \\ $$$$\mathrm{find}\:\mathrm{p}\left(\mathrm{x}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

lim-x-0-2-2cos-2x-3-sin-4x-

Question Number 121822 by liberty last updated on 12/Nov/20 $$\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\sqrt{\mathrm{2}−\mathrm{2cos}\:\mathrm{2x}}}{\mathrm{3}\mid\mathrm{sin}\:\mathrm{4x}\mid}\:=? \\ $$ Answered by bemath last updated on 12/Nov/20 $$\begin{cases}{\underset{{x}\rightarrow\mathrm{0}^{+} } {\mathrm{lim}}\:\frac{\sqrt{\mathrm{2}−\mathrm{2}\left(\mathrm{1}−\mathrm{2sin}\:^{\mathrm{2}} {x}\right)}}{\mathrm{3}\mid\mathrm{sin}\:\mathrm{4}{x}\mid}\:=\:\underset{{x}\rightarrow\mathrm{0}^{+} }…

lim-0-sin-cos-sin-

Question Number 121813 by bemath last updated on 12/Nov/20 $$\:\:\underset{\theta\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{sin}\:\theta−\theta\:\mathrm{cos}\:\theta}{\mathrm{sin}\:\theta−\theta}\:=? \\ $$ Answered by bobhans last updated on 12/Nov/20 $$\:\:\underset{\theta\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{sin}\:\theta−\theta\:\mathrm{cos}\:\theta}{\mathrm{sin}\:\theta−\theta}\:=\: \\ $$$$\:\underset{\theta\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\theta−\frac{\theta^{\mathrm{3}}…