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Continuity — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsContinuity2 Marks
MCQ
The function $f (x)=\left\{\begin{array}{ll}x+2, & 1 \leq x<2 \\ 4, & x=2 \\ 3 x-2, & x>2\end{array}\right.$ is continuous at
  • A
    $x=2$ only
  • B
    $x \leq 2$
  • ✓
    $x \geq 2$
  • D
    None of these
✓

Answer

Correct option: C.
$x \geq 2$
(C)
The given function is defined only in the interval $[1, \infty)$. For $x>2, y=3 x-2$ which is a straight line, hence continuous. Also, the given function is continuous at $x=2$.
∴ option (C) is the correct answer.

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