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Category: Limits

lim-x-1-a-n-1-n-for-a-lt-0-a-gt-0-

Question Number 152239 by Tawa11 last updated on 26/Aug/21 $$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\left(\mathrm{1}\:\:+\:\:\mathrm{a}^{\mathrm{n}} \right)^{\frac{\mathrm{1}}{\mathrm{n}}} \:\:\:\:\:\:\:\:\:\:\left[\mathrm{for}\:\:\:\:\:\:\:\mathrm{a}\:\:<\:\:\mathrm{0},\:\:\:\:\:\:\:\:\:\:\mathrm{a}\:\:>\:\:\mathrm{0}\right] \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

lim-x-0-1-x-2-should-the-answer-be-or-is-it-DNE-my-main-question-is-when-lim-x-a-f-x-does-it-not-exist-is-it-DNE-

Question Number 152211 by nitu last updated on 26/Aug/21 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\:\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{2}} } \\ $$$$\mathrm{should}\:\mathrm{the}\:\mathrm{answer}\:\mathrm{be}\:\infty\:\mathrm{or}\:\mathrm{is}\:\mathrm{it}\:\mathrm{DNE}. \\ $$$$\mathrm{my}\:\mathrm{main}\:\mathrm{question}\:\mathrm{is}, \\ $$$$\mathrm{when}, \\ $$$$\underset{{x}\rightarrow\mathrm{a}} {\mathrm{lim}}\:\mathrm{f}\left(\mathrm{x}\right)\:=\:\infty\: \\ $$$$\mathrm{does}\:\mathrm{it}\:\mathrm{not}\:\mathrm{exist}?\:\mathrm{is}\:\mathrm{it}\:\mathrm{DNE}? \\ $$…

lim-x-1-pi-arc-cos-x-x-1-

Question Number 86655 by jagoll last updated on 30/Mar/20 $$\underset{{x}\rightarrow−\mathrm{1}^{+} } {\mathrm{lim}}\:\frac{\sqrt{\pi}\:−\sqrt{\mathrm{arc}\:\mathrm{cos}\:\mathrm{x}}}{\:\sqrt{\mathrm{x}+\mathrm{1}}} \\ $$ Answered by john santu last updated on 30/Mar/20 $$\mathrm{L}'\mathrm{hopital}\:\mathrm{rule} \\ $$$$\underset{{x}\rightarrow−\mathrm{1}^{+}…

lim-x-1-e-x-1-x-n-

Question Number 86603 by Ar Brandon last updated on 29/Mar/20 $$\underset{{x}\rightarrow−\mathrm{1}} {\mathrm{lim}}\frac{{e}^{{x}} }{\left(\mathrm{1}+{x}\right)^{{n}} } \\ $$ Commented by abdomathmax last updated on 29/Mar/20 $${let}\:{f}\left({x}\right)=\frac{{e}^{{x}} }{\left(\mathrm{1}+{x}\right)^{{n}}…

lim-x-0-x-2-sin-1-x-x-1-e-1-x-e-

Question Number 86204 by jagoll last updated on 27/Mar/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{x}^{\mathrm{2}} \:\mathrm{sin}\:\left(\frac{\mathrm{1}}{\mathrm{x}}\right)\:+\:\mathrm{x}}{\:\sqrt[{\mathrm{x}\:\:}]{\mathrm{1}+\mathrm{e}}\:−\mathrm{e}\:}\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com