Q22MCQ1 mark, −0.33Which one of the following functions is continuous at x=3?x = 3?x=3?(A)f(x)={2,if x=3x−1,if x>3x+33,if x<3f(x) = \begin{cases} 2, & \text{if } x = 3 \\ x-1, & \text{if } x > 3 \\ \frac{x+3}{3}, & \text{if } x < 3 \end{cases}f(x)=⎩⎨⎧2,x−1,3x+3,if x=3if x>3if x<3(B)f(x)={4,if x=38−x,if x≠3f(x) = \begin{cases} 4, & \text{if } x = 3 \\ 8-x, & \text{if } x \neq 3 \end{cases}f(x)={4,8−x,if x=3if x=3(C)f(x)={x+3,if x≤3x−4,if x>3f(x) = \begin{cases} x+3, & \text{if } x \leq 3 \\ x-4, & \text{if } x > 3 \end{cases}f(x)={x+3,x−4,if x≤3if x>3(D)f(x)={1x3−27,if x≠3f(x) = \begin{cases} \frac{1}{x^3-27}, & \text{if } x \neq 3 \end{cases}f(x)={x3−271,if x=3Sign in to save attempts.Show answer← PreviousNext →SolutionsDiscussionLoading…Sign in with Google