Question

Identify the expressions for which limits exist.

Answer 1

Explanation:

Limits exist for:

`\lim_(x \to4 \4) (x^2 -x-12)/(4-x)` =
`((x-4)(x+3))/(4-x)` = ( - 1 )( x + 3 ) = - 7

`\lim_(x \to \ 2) (x^2 +2x-8)/(2-x)` =
`((x+4)(x-2))/(2-x)` = ( - 1 )( x + 4 ) = - 6

`\lim_(x \to2 ) (x^2 +3x - 10)/(x^2 -4)` =
`((x+5)(x-2))/((x+2)(x-2))` =
`(x+5)/(x+2)` =
`(7)/(4)`