CUET MathematicsCalculus > Mediumcore(A) - (I), (B) - (II), (C) - (III), (D) - (IV)(A) - (I), (B) - (III), (C) - (II), (D) - (IV)(A) - (II), (B) - (I), (C) - (III), (D) - (IV)(A) - (II), (B) - (IV), (C) - (III), (D) - (I)✅ Correct Option: 3Related questions:13 May Shift 1If f(x)=x3logexf(x) = x^3\log_e xf(x)=x3logex, Then f′′(e2)f''(e^2)f′′(e2) is equal to3 June Shift 2Let f(x)={∣x∣+3if x≤−3−2xif −3<x<36x+2if x≥3f(x)=\begin{cases} |x|+3 & \text{if } x\le -3 \\ -2x & \text{if } -3<x<3 \\ 6x+2 & \text{if } x\ge 3 \end{cases}f(x)=⎩⎨⎧∣x∣+3−2x6x+2if x≤−3if −3<x<3if x≥3 Then, which of the following is true?22 May Shift 1Let [x][x][x] denote the greatest integer ≤t\leq t≤t and aZ=[ax:x∈Z,a∈R]a \mathbb{Z} = [ax: x \in \mathbb{Z}, a \in \mathbb{R}]aZ=[ax:x∈Z,a∈R] (where Z\mathbb{Z}Z is set of integer and R\mathbb{R}R is set of real number). The set of points of discontinuity of the function f(x)=[2x]f(x) = [2x]f(x)=[2x] is given by