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Differential Calculus> Lim sin [cosx]/1+[cosx] x_o Where [ ] is ...

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Lim sin [cosx]/1+[cosx]
x_o
Where [ ] is greatesr integer function
ans is given 0

ashu , 11 Years ago

Grade 11

1 Answers

Arun Kumar

Last Activity: 11 Years ago

Hi

Limit won't exist here.

because

$\\concept \\$\lim _{x\to a}[\frac{f\left(x\right)}{g\left(x\right)}]=\frac{\lim _{x\to a}f\left(x\right)}{\lim _{x\to a}g\left(x\right)}\mathrm{,\:where\:}\lim _{x\to a}g\left(x\right)\ne 0$ \\$\lim _{x\to \:0+}\left(\frac{\sin \left(\cos \left(x\right)\right)}{1+\cos \left(x\right)}\right)$=sin(1)/2 \\$\lim _{x\to \:0-}\left(\frac{\sin \left(\cos \left(x\right)\right)}{1+\cos \left(x\right)}\right)$=sin(-1)/0$

Thanks & Regards, Arun Kumar, Btech,IIT Delhi, Askiitians Faculty

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