lim(x->k) (x-[x]) , where k is an intege...

`lim_(x->k) (x-[x])` , where k is an integer, is equal to (where denotes greatest integer function

A

-1

B

1

C

0

D

2

Text Solution

Verified by Experts

The correct Answer is:

B

We have,
`lim_(xtok^-)x-[x]=lim_(hto0)k-h[k-h]=lim_(hto0)k-h-(k-1)=1`

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