Functions Question 253
Question: $ \underset{x\to 3}{\mathop{\lim }}
[x]= $ , (where [.] = greatest integer function) [DCE 2002]
Options:
A) 2
B) 3
C) Does not exist
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
$ \underset{h\to {0^{+}}}{\mathop{\lim }}[3+h]=3 $ and $ \underset{h\to {0^{-}}}{\mathop{\lim }}[3-h]=2 $ \ $ \underset{x\to 3}{\mathop{\lim }},[x] $ does not exist.
BETA
