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  • <img alt="\mathrm{\text { Let } f(x)=x-[x] \text {. Then for any integer } n, \lim _{x \rightarrow n} f(x)}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B%5Ctext%20%7B%20Let%20%

\mathrm{\text { Let } f(x)=x-[x] \text {. Then for any integer } n, \lim _{x \rightarrow n} f(x)}

Option: 1

is 0
 


Option: 2

is n
 


Option: 3

is 1
 


Option: 4

does not exist


Answers (1)

best_answer

\mathrm{ \begin{aligned} & \operatorname{Lim}_{x \rightarrow n^{-}} f(x)=n-(n-1)=1 \\ & \operatorname{Lim}_{x \rightarrow n^{+}} f(x)=n-n=0 \end{aligned} }

So limit does not exist.

Posted by

Divya Prakash Singh

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