Evaluate _ x 0 [ x x ]^ 1 n : - Vidyadip

MCQ

Evaluate $\lim _{x \rightarrow 0}\left[\frac{\sin \alpha x}{\sin \beta x}\right]^{\frac{1}{n}}$ :

✓
$\left(\frac{\alpha}{\beta}\right)^{\frac{1}{n}}$
B
$\left(\frac{\beta}{\alpha}\right)^{\frac{1}{n}}$
C
$\left(\frac{\alpha}{\beta}\right)^n$
D
$\left(\frac{\beta}{\alpha}\right)^n$

✓

Answer

Correct option: A.

$\left(\frac{\alpha}{\beta}\right)^{\frac{1}{n}}$

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 "M.C.Q (1 Marks)" from PART - 2 CH - 12 Limits and Derivatives→PART - 2 CH - 12 Limits and Derivatives — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

In the expansion of $(x+a)^n$, if the sum of odd terms be $P$ and the sum of even terms be $Q$, then $4 P Q=$ ?

For all n ∈ N, 3 × 5²ⁿ⁺¹ + 2³ⁿ⁺¹ is divisible by:

19
17
23
25

${{\left( \frac{-1+i\sqrt{3}}{2} \right)}^{20}}+{{\left( \frac{-1-i\sqrt{3}}{2} \right)}^{20}}=$

If $|\text{x}+3|\geq10,$ then:

The mean of five numbers is 30. If one number is excluded, their mean becomes 28. The excluded number is:

Choose the correct answer.
Which of the following is correct?

Point at lines $3 y+x-10=0$ and $2 x-5 y+13=0$ is:

The value of x for which $|\text{x} + 1|+\sqrt{(\text{x} – 1)} = 0$

Arrange the points. A(1, 2, -3), B(-1, -2, -3), C(-1, -2, -3) and D(1, -2, -3) in the increasing order of their octant numbers:

The difference of the focal distances of any point on the hyperbola is equal to