Download App

Limits — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsLimits2 Marks
MCQ
$\lim _{x \rightarrow a} \frac{\sqrt{x}-\sqrt{a}}{x-a}=$
  • ✓
    $\frac{1}{2 \sqrt{a}}$
  • B
    $\frac{1}{\sqrt{a}}$
  • C
    $\frac{2}{\sqrt{a}}$
  • D
    $\sqrt{a}$
✓

Answer

Correct option: A.
$\frac{1}{2 \sqrt{a}}$
(A)
Applying L-Hospital's Rule, we get
$\lim _{x \rightarrow a } \frac{\sqrt{x}-\sqrt{ a }}{x- a }=\lim _{x \rightarrow a } \frac{1}{2 \sqrt{x}}=\frac{1}{2 \sqrt{ a }}$

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

Explore more

More "MCQ" from Limits→Limits — all question types→Maths STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

Which of the following function is not continuous at $x=0$ ?
→
The equation of the circle with centre (2, 2) which passes through (4, 5) is
→
If $={^\text{43}}\text{C}_{\text{r-6}}={^\text{43}}\text{C}_{\text{3r+1}},$ then the value of $r$ is is :
→
If $\omega(\neq 1)$ is a cube root of unity and $(1+\omega)^7=A+B \omega$, then $A$ and $B$ are respectively the numbers
→
$\cos \frac{\pi}{5} \cos \frac{2 \pi}{5} \cos \frac{4 \pi}{5} \cos \frac{8 \pi}{5}=$
→
If $f(x)=\cos \left[\pi^2\right] x+\cos \left[-\pi^2\right] x$, then
→
The angle between the lines $x \cos \alpha_1+y \sin \alpha_1= p _1$ and $x \cos \alpha_2+y \sin \alpha_2= p _2$ is
→
In a class, $40 \%$ of students study maths and science and $60 \%$ of student study maths. What is the probability of a student studying science given the student is already studying maths?
→
If the lines x + 3y - 9 = 0 , 4x + by - 2 = 0 and 2x - y - 4 = 0 are concurrent, then the equation of the line passing through the point (b,0) and concurrent with the given lines, is
→
A single letter is selected from the word TRICKS. The probability that it is either T or R is
→