Question
$\lim _{x \rightarrow 0} \frac{\sqrt{1+x}-\sqrt{1-}}{x}$

Answer

$1$

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

Similar questions

One card is randomly drawn from a pack of $52$ cards. If drawing a spade card is denoted by event $A$ and drawing a card from ace to ten (non-face card) is denoted by $B$ then write the sets showing the following events :
$(1) U (2) A (3) B (4) A ∪ B (5) A ∩ B (6) B'$
The probability that a person living in a city is a non-vegetarian is $0.20.$ Find the probability of at the most two persons out of $6$ persons randomly selected from the city is non-vegetarian.
In a game of selecting one card from a pack of cards, the player gets $₹ 13$ if a queen or jack card is selected. He gets $₹ 26$ for the selection of a king or ace and loses $₹ 13$ for any other card. Find the expected gain of the player.
If $X$ Is a normal variable with mean $100$ and standard deviation $15,$ then find the percentage of observations $(i)$ Having value more than $85.\ (ii)$ Having value less than $130.$
If the regression line of Y on X is $\hat{y}=11+3x$ and $S_{x}:S_{y}=3:10$, find the coefficient of determination.
There are $12$ screws in a box of which $4$ screws are defective. Two screws are randomly selected one by one without replacement from this box. Find the probability that both the screws selected are defective.
Find derivative of $f ( x )=x^{10}$ using definition.
Find the derivative of $y=\left(3 x^{2}+4 x-2\right)(3 x+2)$ with respect to $x$.
If $f(x)=3 x^{2}+4 x+5$, then for which value of $x, f^{\prime}(x)=f^{\prime \prime}(x) ?$
Obtain the linear equation for trend for a Time Series with$n=8, \sum y=344, \quad \sum t y=1342 \text {. }$