Limits – Page 183 – Tinku Tara

lim-a-0-1-cos-3a-1-3-cos-2a-cos-a-a-sin-a-cos-2a-

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Question Number 155937 by cortano last updated on 06/Oct/21 $\lim_{a \to 0} \frac{1 - \sqrt[3]{\cos 3 a} \sqrt{\cos 2 a} \cos a}{a \sin a \cos 2 a} = ?$ Commented by john_santu last updated on 06/Oct/21 $L i m i t = 3$ Terms of…

Solve-the-following-trigonometric-limit-lim-x-pi-4-5tg-x-

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Question Number 24864 by A1B1C1D1 last updated on 27/Nov/17 $Solve the following trigonometric limit :$ $\lim_{x \to \frac{π}{4}} (5 tg (x)) =$ Answered by jota+ last updated on 28/Nov/17 $$\:\underset{{x}\rightarrow\mathrm{0}}…

lim-0-2-e-x-x-dx-

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Question Number 90306 by Tony Lin last updated on 22/Apr/20 $\lim_{λ \to 0} \int_{λ}^{2 λ} \frac{e^{- x}}{x} d x$ Commented by mathmax by abdo last updated on…

Find-this-excercise-about-limits-trigonometri-1-lim-0-2cos-2-3-2-lim-x-0-1-cos-x-x-2-3-3-lim-t-0-4t-2-3t-sin-t-t-2-4-lim-x-0-x-2-1-x-cos-x-5-lim-

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Question Number 155829 by zainaltanjung last updated on 05/Oct/21 $Find this excercise about limits$ $trigonometri$ $1) . \lim_{θ \to 0} \frac{2 \cos θ - 2}{3 θ}$ $2) . \lim_{x \to 0} \frac{1 - \cos x}{x^{\frac{2}{3}}}$ $$\left.\mathrm{3}\right).\:\underset{\mathrm{t}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{4t}^{\mathrm{2}} +\mathrm{3t}\:\mathrm{sin}\:\mathrm{t}}{\mathrm{t}^{\mathrm{2}} } \…

Given-f-x-x-1-n-tan-x-2-r-sec-x-2-r-1-where-r-and-n-N-g-x-lim-n-ln-f-x-tan-x-2-n-f-x-tan-x-2-n-sin-tan-x-2-1-f-x-tan-x-2-n-n-k-for-x

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Question Number 24755 by Anoop kumar last updated on 25/Nov/17 $G i v e n$ $f (x) = \underset{x = 1}{\sum^{n}} t a n (\frac{x}{2^{r}}) . s e c (\frac{x}{2^{r - 1}})$ $w h e r e r a n d n ε N$ $${g}\left({x}\right)\:=\underset{{n}\rightarrow\propto} {\mathrm{li}{m}}\:\:\frac{{ln}\left({f}\left({x}\right)+{tan}\frac{{x}}{\mathrm{2}^{{n}} }\right)\:−\left({f}\left({x}\right)+{tan}\frac{{x}}{\mathrm{2}^{{n}} }\right).\left[{sin}\left({tan}\frac{{x}}{\mathrm{2}}\right)\right.}{\mathrm{1}+\left({f}\left({x}\right)\:\:+\:\:{tan}\frac{{x}}{\mathrm{2}^{{n}} }\right)^{{n}}…

lim-x-1-1-x-cos-1-x-2-

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Question Number 90281 by jagoll last updated on 22/Apr/20 $\lim_{x \to 1} \frac{1 - \sqrt{x}}{{(\cos^{- 1} (x))}^{2}} = ?$ Commented by jagoll last updated on 22/Apr/20 $$\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\:\frac{−\frac{\mathrm{1}}{\mathrm{2}\sqrt{\mathrm{x}}}}{\mathrm{2cos}^{−\mathrm{1}} \left(\mathrm{x}\right).\left(\frac{−\mathrm{1}}{\:\sqrt{\mathrm{1}−\mathrm{x}^{\mathrm{2}}…

Use-algebraic-simplifications-to-help-find-the-limits-if-they-exist-1-lim-x-2-x-2-4-x-2-2-lim-x-1-x-2-x-2x-2-5x-7-3-lim-x-1-3x-2-13x-10-2x-2-7x-15-4-lim-

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Question Number 155812 by zainaltanjung last updated on 05/Oct/21 $Use algebraic simplifications to help$ $find the limits, if they exist .$ $1) . \lim_{x \to 2} \frac{x^{2} - 4}{x - 2}$ $2) . \lim_{x \to 1} \frac{x^{2} - x}{{2 x}^{2} + 5 x - 7}$ $$\left.\mathrm{3}\right).\:\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\:\:\:\frac{\mathrm{3x}^{\mathrm{2}} −\mathrm{13x}−\mathrm{10}}{\mathrm{2x}^{\mathrm{2}}…

lim-x-0-x-3-e-x-1-x-2-xe-x-x-

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Question Number 90226 by manuel__ last updated on 22/Apr/20 $\lim_{x \to 0} (\frac{x^{3} (e^{x} - 1) - x^{2}}{{x e}^{x} - x}) = ?$ Commented by john santu last updated on 22/Apr/20…

lim-x-pi-3-1-2cos-x-pi-3x-

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Question Number 90210 by manuel__ last updated on 22/Apr/20 $\lim_{x \to \frac{π}{3}} (\frac{1 - 2 \cos (x)}{π - 3 x}) = ?$ Commented by mathmax by abdo last updated on 22/Apr/20 $f (x) = \frac{2 c o s x - 1}{3 x - π} = \frac{2 c o s x - 1}{3 (x - \frac{π}{3})} w e d o t h e c h a n g e m e n t x - \frac{π}{3} = t \Rightarrow$ $$\left({x}\rightarrow\frac{\pi}{\mathrm{3}}\Leftrightarrow\:{t}\rightarrow\mathrm{0}\right)\:{and}\:{f}\left({x}\right)=\frac{\mathrm{2}{cos}\left({t}+\frac{\pi}{\mathrm{3}}\right)−\mathrm{1}}{\mathrm{3}{t}}={g}\left({t}\right)…

find-the-limit-of-lim-1-t-1-t-1-t-t-0-

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Question Number 90151 by JosephK last updated on 21/Apr/20 $f i n d t h e l i m i t o f$ $l i m \frac{1}{t (\sqrt{1 + t}} - \frac{1}{t}$ $t \to 0$ Commented by abdomathmax last updated on 21/Apr/20 $${f}\left({t}\right)=\frac{\mathrm{1}}{{t}\sqrt{\mathrm{1}+{t}}}−\frac{\mathrm{1}}{{t}}\:\Rightarrow{f}\left({t}\right)=\frac{{t}−{t}\sqrt{\mathrm{1}+{t}}}{{t}^{\mathrm{2}} \sqrt{\mathrm{1}+{t}}}…

Category: Limits