4
3
2
0
Correct answer is A
\lim \limits_{x \to 3} \frac{x^{2} - 2x - 3}{x - 3}
\frac{x^{2} - 2x - 3}{x - 3} = \frac{x^{2} - 3x + x - 3}{x - 3}
\frac{(x - 3)(x + 1)}{x - 3} = x + 1
\lim \limits_{x \to 3} \frac{x^{2} - 2x - 3}{x - 3} \equiv \lim \limits_{x \to 3} (x + 1) (L'Hopital rule)
\lim \limits_{x \to 3} (x + 1) = 3 + 1 = 4
Simplify 8^{n} \times 2^{2n} \div 4^{3n}...
The equation of a circle is 3x^{2} + 3y^{2} + 6x - 12y + 6 = 0. Find its radius...
Given that a = i - 3j and b = -2i + 5j and c = 3i - j, calculate |a - b + c|....
Differentiate \frac{5x^{3} + x^{2}}{x}, x\neq 0 with respect to x....
The gradient ofy= 3x^2 + 11x + 7 at P(x.y) is -1. Find the coordinates of P. ...
A binary operation \Delta is defined on the set of real numbers, R, by \(a \Delta b = \frac{a+b}...
Given that P = \begin{pmatrix} 4 & 9 \end{pmatrix} and \(Q = \begin{pmatrix} -1 & -2 \\ ...
In how many ways can 3 prefects be chosen out of 8 prefects? ...