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(lim)(xvec(-1^)/3)1/x[(-1)/x]= (where [....

`(lim)_(xvec(-1^)/3)1/x[(-1)/x]=` (where [.] denotes the greatest integer function) a. -9 b. -12 c. -6 d. 0

A

`-9`

B

`-12`

C

`-6`

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
`xlt-(1)/(3)`
`rArr(1)/(x)gt-3rArr-(1)/(x)lt3rArr[-(1)/(x)]=2,` when `xrarr(-1^(-))/(3)`
`rArr underset(xrarr(-1^(-))/(3))(lim)(1)/(x)[(-1)/(x)]=(-3)(2)=-6`
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