_ x 2 x^2-4 x-2 - Vidyadip

Question

$\lim _{x \rightarrow 2} \frac{x^2-4}{\sqrt{x}-\sqrt{2}}$

✓

Answer

$8 \sqrt{2}$

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 "3 Marks Each" from PART 2 : LIMIT→PART 2 : LIMIT — all question types→Statistics STD 12 Commerce question papers→Gujarat Board STD 12 Commerce question papers→Gujarat Board question paper generator→

Similar questions

The data collected about the demand of a commodity from a store are as follows. Find the trend using three monthly moving averages.

Month	January	February	March	April	May	June	July
Demand $($Units$)$	$15$	$16$	$18$	$18$	$23$	$23$	$20$

$X$ and $Y$ are two mutually dependent variables. $ \sum_{1}^{20}(x-32)=0, \sum_{1}^{20}(y-48)=0, \Sigma(x-32)^{2}=120, \Sigma(y-48)^{2}= $ $260 ; \Sigma(x-32)(y-48)=-78$ obtain the regression line of $Y$ on $X$.

The data of marks of the first test of $10$ students of the $12th$ standard class for Statistics and Economics are as follows. Find the value of correlation coefficient. $ \bar{x}=64, \bar{y}=56, \Sigma x^2=50780, \Sigma y^2=32010 \text { and } \Sigma x y=36120 $

Find $\frac{d y}{d x}$ if $y = 5 + \frac{6}{7 x+8}$

If $\bar{t}=3.5, \Sigma y=36, \Sigma t y=134$ for a time series, find the linear equation.

If the regression line of $Y$ on $X$ is $8 x+5 y-80=0$, find the regression coefficient (b).

Calculate index number by total expenditure method from the following data.

Item	Quantity	Price $(₹)$
Item	Year $2014$	Year $2014$	Year $2018$
$A$	$4$	$10$	$11$
$B$	$7$	$5$	$13$
$C$	$10$	$3$	$12$
$D$	$3$	$20$	$24$
$E$	$2$	$13$	$26$

State the necessary precautions to be taken while interpreting the value of correlation coefficient.

If $p(x)=C .\left(\frac{2 x+1}{x-1}\right) x=2,3,4$, then find the value of constant $C$ such that $p(x)$ becomes a probability distribution.

$f(x) = \frac{1}{x+1}, x \neq -1$