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Question Number 44085 by rk last updated on 21/Sep/18

$$lim\mathrm{x}\to 0\left[\frac{\sin \mid x\mid }{x}\right]$$

Commented by tanmay.chaudhury50@gmail.com last updated on 22/Sep/18

Commented by tanmay.chaudhury50@gmail.com last updated on 22/Sep/18

$$graphofsin\mid x\mid$$

Commented by tanmay.chaudhury50@gmail.com last updated on 22/Sep/18

Commented by tanmay.chaudhury50@gmail.com last updated on 22/Sep/18

$$graphof\frac{sin\mid x\mid }{x}$$

Commented by tanmay.chaudhury50@gmail.com last updated on 22/Sep/18

Commented by tanmay.chaudhury50@gmail.com last updated on 22/Sep/18

$$\underset{x\to 0+}{\mathrm{li}m}\left[\frac{sin\mid x\mid }{x}\right]\to 1[.]\leftarrow greatestintegerfunction$$$$\underset{x\to 0-}{\lim }\left[\frac{sin\mid x\mid }{x}\right]\to -1$$$$solefthandsidelimit\to -1$$$$righthandsidelimit\to 1solimitdoesnotexist$$

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