Question
The function f(x) = [x], where [x] denotes the greatest integer function, is continuous at:
  1. 4
  2. -2
  3. 1
  4. 1.5

Answer

  1. 1.5

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

Choose the correct answer from the given four options.
The matrix $\begin{bmatrix}0&-5&8\\5&0&12\\-8&-12&0\end{bmatrix}$ is a:
  1. Diagonal matrix.
  2. Symmetric matrix.
  3. Skew-symmetric matrix.
  4. Scalar matrix.
For a real number $\alpha$, if the system

$\left[\begin{array}{ccc}1 & \alpha & \alpha^2 \\ \alpha & 1 & \alpha \\ \alpha^2 & \alpha & 1\end{array}\right]\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\left[\begin{array}{c}1 \\ -1 \\ 1\end{array}\right]$

of linear equations, has infinitely many solutions, then $1+\alpha+\alpha^2=$

If $\text{A}=\begin{bmatrix}5&\text{x}\\\text{y}&0\end{bmatrix}$ and A = AT, then:
  1. x = 0, y = 5
  2. x + y = 5
  3. x = y
  4. None of these.
$\int\limits_0^{\pi \,/\,2n} {\,\frac{{dx}}{{1\,\, + \,\,{{\tan }^n}\,nx}}} $ =
$\cot ^{-1} \frac{\sqrt{1-x^2}}{x}$ equal to :
If $3 x+2 y=\sin x$ then $\frac{d y}{d x}$ :
The equation of the plane parallel to the lines x - 1 = 2y - 5 = 2z and 3x = 4y - 11 = 3z -4 and passing through the point (2, 3, 3) is:
  1. x - 4y + 2z + 4 = 0
  2. x + 4y + 2z + 4 = 0
  3. x - 4y + 2z - 4 = 0
  4. None of these
Moving along the $ x-$ axis are two points with $x = 10 + 6t; \, x = 3 + {t^2}.$ The speed with which they are reaching from each other at the time of encounter is ........... $cm/sec$. ( $x$  is in $cm$ and $t$ is in seconds)
If R is a relation on the set A = {1, 2, 3} given by R = {(1, 1), (2, 2), (3, 3)}, then R is:
  1. Reflexive.
  2. Symmetric.
  3. Transitive.
  4. All the three options.
If $\int \limits_0^\pi \frac{5^{\cos x}\left(1+\cos x \cos 3 x+\cos ^2 x+\cos ^3 x \cos 3 x\right) d x}{1+5^{\cos x}}=\frac{k \pi}{16}$, then $k$ is equal to $...........$.