Question

lim
${x }^{2} - 2x - 3 \div x - 3$
​

Answer 1

Solution

$= lim \frac{x {}^{2} - 2x - 3 }{x - 3} \\ = lim \frac{x {}^{2} - 3x + x - 3}{x - 3} \\ = lim \frac{x (x - 3) + 1(x - 3)}{x - 3} \\ = lim \frac{(x - 3)(x + 1)}{(x - 3)} \\ = > lim(x + 1) = (0 + 1) = 1\\ \: \: \: \: \: \: \: \: x→0$

Answer 2

Step-by-step explanation:

x^2-2x-3/x-3

x^2(x-3)/x-3-2x(x-3)/x-3-3/x-3

x^3-3x^2-2x^2-6x-3/x-3

x^3-5x^2-6x-3/x-3