= x 2 - Vidyadip

MCQ

$\lim \tan\text{x} = \text{x}\rightarrow \frac{\pi }{2}$

A
$1$
B
$0$
C
$\frac{1}{\pi}$
✓
does not exisz

✓

Answer

Correct option: D.

does not exisz

$\text{L.H.L}.=\lim \tan\text{x}=+\infty \ \text{x}\rightarrow \Big(\frac{\pi}{2}\Big)^-$
$\text{R.H.L}.=\lim \tan\text{x}=-\infty \ \text{x}\rightarrow \Big(\frac{\pi}{2}\Big)^+$
Clearly left hand $ \text{limit} \neq$ right hand limit.
Hence given limit 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→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

The value of the expression $1.(2 - \omega )(2 - {\omega ^2}) + 2.(3 - \omega )(3 - {\omega ^2}) + .......$$.... + (n - 1).(n - \omega )(n - {\omega ^2}),$where $\omega $ is an imaginary cube root of unity, is

If $(1+\text{i})(1+2\text{i})(1+3\text{i})...(1+\text{ni})=\text{a}+\text{ib},$ then 2.5.10.17...$(1+\text{n}^2)=$

Let ${L_1}$ be a straight line passing through the origin and ${L_2}$ be the straight line $x + y = 1$. If the intercepts made by the circle ${x^2} + {y^2} - x + 3y = 0$ on ${L_1}$ and ${L_2}$ are equal, then which of the following equations can represent ${L_1}$

The domain of the function $ \text {f} (\text{x}) = \frac{1}{(2 -\cos 3\text{x})}$ is:

The value of $\tan1^\circ\tan2^\circ\tan3^\circ...\tan89^\circ$ is:

If the lines $x + q = 0, y - 2 = 0$ and $3x + 2y + 5 = 0$ are concurrent, then the value of $q$ will be:

The points on the $y-$axis which are at a distance of $3$ units from the point $(2, 3, -1)$ is:

If the mean of the data : $7, 8, 9, 7, 8, 7, \mathop \lambda \limits^. , 8$ is $8$, then the variance of this data is

The largest term in the expansion of $(3 + 2x)50,$ when $\text{x}=\frac{1}{5}$ is:

$ \lim\limits_{\text{x}\rightarrow \infty } [\text{x}-1]$ - where $[.]$ is greatest integer function, is equal to: