Question

Determine the value of "a" so that the following limit exists? Lim (3x^2+ax+a+3)/x^2+x+2 x->-2

Answer 1

`(3x^2+ax+a+3)/(x^2+x+2) x->-2`
if this is what you meant to write as a question , then the limit exists for every value of a

Explanation:

(Be clearer and Use # to so that we can better understand if it isn't what you meant)

not only does the limit exist, but it even works without the use of a limit as the denominator does not become 0 when you put`x = -2` but instead becomes `4` so we're not dividing by 0 and therefore have no need of even using a limit