Question

Find the limit of the function algebraically.

limit as x approaches two of quantity x squared minus four divided by quantity x minus two.

Answer 1

\[\lim_{x \rightarrow 2}\frac{ x ^{2}-4 }{ x-2 }\]

Answer 2

@ganeshie8, @amistre64

Answer 3

is it 0 or does it not exist?

Answer 4

it exists and not 0

Answer 5

factorize the numerator and then proceed.

Answer 6

could you show me how to do it?

Answer 7

\[\lim_{x \rightarrow 2}\frac{ \left( x+2 \right)\left( x-2 \right) }{ \left( x-2 \right) }=\lim_{x \rightarrow 2}\left( x+2 \right)\]
=?

Answer 8

is it then =4?

Answer 9

you are correct.