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If f(x)={("sin"[x])/([x]),for[x]!=0, 0,f...

If `f(x)={("sin"[x])/([x])`,for`[x]!=0, 0`,for[x]=0,where `[x]` denotes the greatest integer less than or equal to `x ,` then `lim_(x→0)f(x)` is (a) `1` (b) 0 (c) `-1` (d) none of these

A

`lim_(xto0^(-))f(x)=sin1`

B

`lim_(xto0^(+))f(x)=0`

C

limt does not exist at `x=0`

D

limt exists at `x=0`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
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