Calculate the limit algebraically. (If an answer does not exist, enter DNE.) lim x→3 x2 − 2x − 3 x2 − 9 If the limit does not exist, say why. The limit does not exist because it diverges to [infinity] or −[infinity]. The limit does not exist because one side diverges to [infinity] and the other side diverges to −[infinity]. The limit does not exist because only one of the left or right limits exists as a finite value. The limit does not exist because the left and right limits exist but are not the same finite value. The limit does exist and is a finite number.