1.If f(x)=[x]−[x4]f(x) = [x] - \left[\frac{x}{4}\right]f(x)=[x]−[4x], x∈Rx \in \mathbb{R}x∈R, where [x][x][x] denotes the greatest integer function, then:a.limx→4+f(x)\lim_{x \to 4^+} f(x)limx→4+f(x) exists but limx→4−f(x)\lim_{x \to 4^-} f(x)limx→4−f(x) does not existb.fff is continuous at x=4x = 4x=4c.limx→4−f(x)\lim_{x \to 4^-} f(x)limx→4−f(x) exists but limx→4+f(x)\lim_{x \to 4^+} f(x)limx→4+f(x) does not existd.Both limx→4−f(x)\lim_{x \to 4^-} f(x)limx→4−f(x) and limx→4+f(x)\lim_{x \to 4^+} f(x)limx→4+f(x) exist but are not equalLogin to continueOnly logged in users canattempt or see the solution.
