Functions Question 51
Question: $ \underset{x\to 1}{\mathop{\lim }},[x]= $
Options:
A) 0
B) 1
C) Does not exist
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
$ \underset{x\to 1-}{\mathop{\lim }},[x]=\underset{h\to 0}{\mathop{\lim }}[1-h]=\underset{h\to 0}{\mathop{\lim }},0=0 $ and $ \underset{x\to 1+}{\mathop{\lim }},[x]=\underset{h\to 0}{\mathop{\lim }},[1+h]=\underset{h\to 0}{\mathop{\lim }},1=1 $ Hence limit does not exist.
BETA
