2. Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) , lim, (12 + 1)4(t + 5)5 1x Submit Answer MY NUIES ASK YI 5. EXAMPLE 5 Evaluate the limit below. lim (5 + h)2 - 25 h SOLUTION If we define F(h) = (5 + h)2 - 25 then we can't compute the limit by letting h = 0 since F(0) is undefined. But if we simplify F(h) algebraically and simplify at each step, we find that F(h) = + 10h + 25) - 25 (Recall that we consider only h # 0 when letting h approach 0.) Thus lim (5 + h)2 - 25 = lim. ( 7. This question has several parts that must be completed sequentially. If you skip a part of the Tutorial Exercise Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 - 6x x-6 x2 - 5x - 6 Part 1 of 3 First, factor the numerator and denominator of - *2 - 6x x2 - 5x - 6 x2 - 6x x(x - -6 x2 - 5x - 6 x-6 (x- 11. This question has several parts that must be completed sequentially. If you skip a part of the question, you w Tutorial Exercise Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim (6 + h)3 - 216 Part 1 of 4 First, expand (6 + h) in the numerator. (6 + h)3 = lx h +[ x 62 + h 3 Submit Skip (you cannot come back)