Question
$\lim _{x \rightarrow 2} \frac{x^2-4}{x+3}=$ __________.

Answer

$0$

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

Given x > 0, the values of $\text{f(x)}=-3\cos\sqrt{3+\text{x + x}^2}$ lie in the interval _______.
If lines $l_1$ and $l_2$ are parallel then their slopes are _____________
Fill in the blank:
Equations of the lines through the point (3, 2) and making an angle of 45° with the line x - 2y = 3 are ____.
Fill in the blank.
If the seventh terms from the beginning and the end in the expansion of $\Big(3\sqrt{2}+\frac{1}{3\sqrt{3}}\Big)^\text{n}$ are equal, then n equals _____________.
[Hint: $\text{T}_7=\text{T}_{\text{n}-7+2}\Rightarrow\ ^\text{n}\text{C}_6\Big(2^\frac{1}{3}\Big)^{\text{n}-6}\bigg(\frac{1}{3^\frac{1}{3}}\bigg)^6$ $=\ ^\text{n}\text{C}_{\text{n}-6}\Big(2^\frac{1}{3}\Big)^6\bigg(\frac{1}{3^\frac{1}{3}}\bigg)^{\text{n}-6}$
$\Rightarrow\Big(2^\frac{1}{3}\Big)^{\text{n}-12}=\bigg(\frac{1}{3^{\frac{1}{3}}}\bigg)^{\text{n}-12}\Rightarrow$ only problem when $\text{n}-12=0\Rightarrow\text{n}=12]$
Fill in the blanks.
If |x + 2| > 5, then x ...... -7 or x ......-3.
Fill in the blanks.
If $|\text{z}+4|\leq3,$ then the greatest and least values of z + 1 are ..... and ____________.
The equation of the hyperbola with vertices at $(0,\pm6)$ and eccentricity $\frac{5}{3}$ is ___________ and its foci are ___________.
The number of permutations made by taking $r$ objects at a time out of $n$ different objects is ________.
Fill in the blanks.
The equation of z-axis, are _______.
A hyperbola is the set of all points in a plane, the differernce of whose distances from two fixed points in the plane is a _______________