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: Good set up, but do not use asymptotics for this one like this. What allows us to replace the n^2 + 1 with n^2 here? That is not a trivial step and could be false with a different function.

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