Question: MATH 1110 - HW9 Question 5. (4 points for each part (a)-(c), graded for correctness.) The goal of this question is to explore when we


MATH 1110 - HW9 Question 5. (4 points for each part (a)-(c), graded for correctness.) The goal of this question is to explore when we can and cannot use L'Hopital's Rule to compute limits. If you use L'Hopital's Rule in the following problems, make sure to clearly explain why it applies. (a) Compute: lim a2 sin (1) 20 sin(I) HINT: You may use lim - sin(I) = 1 and lim r sin (=) = 0 as known facts. (b) Evaluate: lim MATH 1110 - HW9 (c) Consider the erroneous computation: 21 2 2 lim 1023 4 3 cos() = lim - lim - = lim = 1 * 1012 - sin(x) x 10 21 - cos() * >0 2+ sin(x) Explain what is wrong with this calculation. Evaluate the limit using a valid argument
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