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Continuity — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsContinuity2 Marks
MCQ
The function $f (x)=\frac{|3 x-4|}{3 x-4}$ is discontinuous at
  • A
    $x=4$
  • B
    $x=\frac{3}{4}$
  • ✓
    $x=\frac{4}{3}$
  • D
    $x=\frac{2}{3}$
✓

Answer

Correct option: C.
$x=\frac{4}{3}$
(C)
As $\frac{|x|}{x}$ is discontinuous at $x=0$.
$\therefore \quad \frac{|3 x-4|}{3 x-4}$ is discontinuous at $3 x-4=0$.
$\therefore \quad x=\frac{4}{3}$

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