JEE PYQ: Continuity And Differentiability Question 27
Question 27 - 2019 (09 Apr Shift 2)
If $f(x) = [x] - \left[\dfrac{x}{4}\right]$, $x \in \mathbb{R}$, where $[x]$ denotes the greatest integer function, then:
(1) $f$ is continuous at $x = 4$
(2) $\lim_{x \to 4+} f(x)$ exists but $\lim_{x \to 4-} f(x)$ does not exist
(3) Both $\lim_{x \to 4-} f(x)$ and $\lim_{x \to 4+} f(x)$ exist but are not equal
(4) $\lim_{x \to 4-} f(x)$ exists but $\lim_{x \to 4+} f(x)$ does not exist
BETA
