Question
Consider the functions ?(?) = 5? + 3 and ?(?) = 3?^2 − 4? + 7....
Consider the functions ?(?) = 5? + 3 and ?(?) = 3?^2 − 4? + 7.
i. Conjecture which is increasing faster. ii. Calculate: ??? ?→∞ 5 ? + 3
iii. Calculate: ??? ?→∞ 3 ?^2 − 4? + 7
iv. By themselves do these two limits answer the question about which is increasing faster?
v. Evaluate using L’Hôpital’s Rule: ??? ?→∞ 5?+3 / 3?^2−4?+7
vi. What does the result of this finished limit calculation tell us about which function is increasing faster?
Homework Answers
Answer #1
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