If f(x) = [x] − [x/4], x ∈ R, where [x]... | Limits

JEE MAIN 2019

09-04-2019 S2

Question

If $f(x)=[x]-\left[\frac{x}{4}\right], x \in R$, where $[x]$ denotes the greatest integer function, then :

Select the correct option:

$\lim _{x \rightarrow 4^{+}} f(x)$ exists but $\lim _{x \rightarrow 4^{-}} f(x)$ does not exist

$f$ is continuous at $x=4$

$\lim _{x \rightarrow 4^{-}} f(x)$ exists but $\lim _{x \rightarrow 4^{+}} f(x)$ does not exist

Both $\lim _{x \rightarrow 4^{-}} f(x)$ and $\lim _{x \rightarrow 4^{+}} f(x)$ exist but are not equal

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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