Category: Limits

Question Number 193563 by SaRahAli last updated on 16/Jun/23 Answered by Gamil last updated on 16/Jun/23 Answered by Subhi last updated on 16/Jun/23 $$ \…

Question Number 193408 by cortano12 last updated on 13/Jun/23 $$\underset{―}{\underbrace{}}$$ Answered by MM42 last updated on 13/Jun/23 $${lim}_{{n}\rightarrow\infty} \:\frac{\mathrm{1}}{{n}}×\left(\frac{\mathrm{1}−\left({e}^{\frac{{a}}{{n}}} \right)^{{n}} ×\frac{\mathrm{1}}{{e}^{\frac{{a}}{{n}}} }}{\mathrm{1}−{e}^{\frac{{a}}{{n}}}…

Question Number 193236 by Mingma last updated on 08/Jun/23 Answered by MM42 last updated on 09/Jun/23 $$if“p^{″}isprimenumber\Rightarrow (p-1)!\stackrel{p}{\equiv }-1\left({wilson}^{\prime }dtheorem\right)$$$$h=17k+5\Rightarrow h\stackrel{17}{\equiv }5$$ Answered by…

Question Number 193117 by mustafazaheen last updated on 04/Jun/23 $$\underset{x\to 0}{\lim }{\left(\mathrm{cosx}\right)}^{\frac{1}{\mathrm{x}}}$$ Answered by Subhi last updated on 04/Jun/23 $$y={lim}_{x\to 0}{\left(cosx\right)}^{\frac{1}{x}}$$$${ln}\left({y}\right)\:=\:{lim}_{{x}\rightarrow\mathrm{0}} \:\frac{{ln}\left({cosx}\right)}{{x}}…

Question Number 131033 by greg_ed last updated on 31/Jan/21 $$\underset{x\to 0}{\lim }\frac{x-\tan x}{x{\tan }^{2}x}=?$$ Commented by greg_ed last updated on 02/Feb/21 $$\mathbf{without}\mathbf{the}\mathbf{limited}\mathbf{development}\mathbf{method}!$$ Answered…