Functions Question 30

Question: If n is an integer, then $ \underset{x\to n+0}{\mathop{\lim }},(x-[n])= $

Options:

A) 0

B) 1

C) ?1

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

$ \underset{x\to n+0}{\mathop{\lim }}(x-[n])=\underset{x\to n+0}{\mathop{\lim x}}-\underset{x\to n+0}{\mathop{\lim ,[n]}}=n-n=0 $ .