_ x→0 | x| x is equal to: - Vidyadip

MCQ

$ \lim_\limits{\text{x}→0} \frac{| \sin \text{x}|}{\text{x}}$ is equal to:

A
1
B
-1
C
0
D
does not exist

✓

Answer

does not exist

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 Limits and Derivatives→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

If in the expansion of $(1+\text{x})^{20},$ the coefficients of rth and (r + 4) terms are equal, then r is equal to:

In a triangle, the side lengths are a = 5, b = 3 and c = 2. Find the length of the median drawn to the side c:

The sixth term of an AP is equal to 2. The value of the common difference of the AP which makes the product T1 T4 T5 least, is given by:

The radius of the circle represented by the equation $3\text{x}^2+3\text{y}^2+(\lambda-6)\text{y}+3=0$ is:

$\frac{3}{2}$
$\frac{\sqrt{17}}{2}$
$\frac{2}{3}$
None of these

If $\sqrt{\text{a}+\text{ib}}=\text{x}+\text{iy},$ then possible value of $\sqrt{\text{a}-\text{ib}}$ is:

$\text{x}^2+\text{y}^2$
$\sqrt{\text{x}^2+\text{y}^2}$
$\text{x}+\text{iy}$
$\text{x}-\text{iy}$
$\sqrt{\text{x}^2-\text{y}^2}$

Choose the correct answer.
$\lim\limits_{\text{x} \rightarrow0}\frac{\text{cosec}-\cot\text{x}}{\text{x}}$ is equal to:

If $\tan\text{A}=\frac{\text{a}}{\text{a}+1}$ and $\text{B}=\frac{1}{2\text{a}+1},$ then the value of A + B is:

If $\pi<\text{x}<2\pi,$ then $\sqrt{\frac{1+\cos\text{x}}{1-\cos\text{x}}}$ is equal to:

If $\text{f(x)}=\cos(\log\text{x}),$ then the value of $\text{f(x})\text{f}(\text{y})-\frac{1}{2}\Big\{\text{f}\Big(\frac{\text{x}}{\text{y}}\Big)+\text{f}\big(\text{x}\text{y}\big)\Big\}$ is:

-1
$\frac{1}{2}$
-2
None of these.

If f(x) = 1 - x + x² - x³ + ....-x⁹⁹ + x¹⁰⁰, then f'(1) is equal to:

150
-50
-150
-50