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.



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