If $f:R \to R$ is defined by $f\left( x \right) = \left[ {x - 3} \right] + \left[ {x - 4} \right]$ for $x \in R$, then $\mathop {\lim }\limits_{x \to {3^ - }} f\left( x \right)$ is equal to

JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Application +4 | -1

f:R \to R

is defined by

f\left( x \right) = \left[ {x - 3} \right] + \left[ {x - 4} \right]

for

x \in R

, then

\lim\limits_{x \to {3^ - }} f\left( x \right)

is equal to

View answer and explanation

Correct option: C

Option C (0) is correct because the limit evaluates to 0 after substituting

x = 3 - h

and simplifying the greatest integer function and absolute value.

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