Section 7.4 Asymptotic Equality

Make sure you read the questions very carefully and see on what its being asked for. Please be careful with this assignment.

Feedback: #3: The derivative of the numerator is not correct here when using l'Hpital's rule. That is what's causing the limit computation to be incorrect here.

MATH 1522: SECTION 7.4 WRITTEN ASSIGNMENT Please read the reading assignment associated with this section before doing this assignment. The purpose of this assignment is to apply the methods learned in that reading to compute limits. Using a different method will result in no credit. 1. Use asymptotic equality to compute the limit lim (3n + 4) (n - 2) 1-+00 (2n + 3) (2n + 1) Write out the asymptotics that you are using separately. 2. Use asymptotic equality to compute the limit 2n+(n + 3) In(n + 1) lim n-100 2" (3n + 1) In(n) Write out the asymptotics that you are using separately. It might be worth simplifying before using asymptotics in this example. 3. Show the asymptotic equality In(n2 + 1) ~ 2In(n) as n - co by using the definition of asymptotic equality. There is both an example of this in the reading and a video example of this, so please consult those if you're having trouble