Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.)

Question

Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.)

lim h → 0 (−3 + h)2 − 9

h

Answer 1

lim_h→0 [((-3+h)² - 9) / h] = lim_h→0 [(9 - 6h + h² - 9) / h] = lim_h→0 [(h(h - 6) / h] = lim_h→0 [h - 6] = -6