MCQ
Which of the following functions is discontinuous function ?
  • A
    $\sin x$
  • B
    $X^2$
  • $\frac{1}{1-2 x}$
  • D
    $\frac{1}{1+x^2}$

Answer

Correct option: C.
$\frac{1}{1-2 x}$
$\frac{1}{1-2 x}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Let $f(x) = [2x^3 -5];$ then number of points in $(1, 2)$ where the function is discontinuous are where $[\,.]\, \to G.I.F$
If $\tan^{-1}\frac{\text{x}+1}{\text{x}-1}+\tan^{-1}\frac{\text{x}-1}{\text{x}}=\tan^{-1}(-7),$ then the value of x is:
If $\vec r = 3\hat i+ 2\hat j +5\hat k\,\,,\vec a= 2\hat i-\hat j +\hat k,\,\,\vec b= \hat i+ 3\hat j -2\hat k$ and $\vec c =-2\hat i +\hat j -3\hat k$ such that $\vec r=\lambda \vec a+\mu \vec b+\gamma \vec c$, then -
$ \tan^{−1}\sqrt{3}+\sec−12–\cos−^{1}1$ is equal to $...........$
Primitive of $f (x) = x\,\cdot\,{2^{\ln \,({x^2} + 1)}}$ $w.r.t. x$ is
Let $f : R \to R, f(x) = max.\{|tan^{-1}x|, cot^{-1}x\}.$ Consider the following statements :
$I.$ Function is continuous and derivable $\forall x \in R$
$II.$ Range of function is $\left[ {\frac{\pi }{4},\pi } \right]$
$III.$ $f(x)$ is many one-into. Identify the correct option -
Let $f, g: R \to R$ be two functions defined by $f(x)\, = \,\left\{ {\begin{array}{*{20}{c}}
{x\,\sin \,\left( {\frac{1}{x}} \right),\,x\, \ne \,0\,\,\,\,\,\,\,\,\,\,}\\
{0,\,\,\,\,\,\,\,\,\,\,\,\,\,\,,x\, = 0\,\,\,\,\,\,\,\,\,}
\end{array}} \right.,$ and $g(x) =x\,f(x)$

Statement $I:$ $f$ is a continuous function at $x = 0.$
Statement $II:$ $g$ is a differentiable function at $x = 0.$

If a line makes angles $Q_1, Q_{21}$ and $Q_3$ respectively with the coordinate axis then the value of $\cos^2 \text{Q}_{1} + \cos^2 \text{Q}_{2} + \cos^2 \text{Q}_{3}$:
Four persons $P, Q, R$ and $S$ are initially at the four corners of a square side $d.$ Each person now moves with a constant speed $v$ in such a way that $P$ always moves directly towards $Q, Q$ towards $R, R$ towards $S,$ and $S$ towards $P.$ The four persons will meet after time.
The value of integral $\int_{1/\pi }^{2/\pi } {\frac{{\sin (1/x)}}{{{x^2}}}} \,dx = $