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If \mathrm{[x]} denotes the largest integer that is less than or equal to \mathrm{x}, then \mathrm{\lim _{x - 3}[x]} is
 

Option: 1

0


Option: 2

2


Option: 3

3


Option: 4

non-existent


Answers (1)

best_answer

\mathrm{f(x) =[x] }

\mathrm{ \lim _{x-3} f(x)=\lim _{x - 3} 2=2 }

\mathrm{ \lim _{x - 3} f(x)=\lim _{x -3} 3=3 }

\mathrm{ \because \lim _{x -3} f(x)=\lim _{x -3} f(x) }

\mathrm{\Rightarrow \lim _{x - 3} f(x)} is non-existent.

Hence option 4 is correct.
 

Posted by

seema garhwal

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