1. Use asymptotic equality to compute the limit lim (3n+4)(n-2) > (2n+3)(2n+1)* Write out the asymptotics...

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1. Use asymptotic equality to compute the limit lim (3n+4)(n-2) > (2n+3)(2n+1)* Write out the asymptotics that you are using separately. 2. Use asymptotic equality (~) to compute the limit lim 21(n+3) In(n+1) 002 (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) 2ln(n) as n 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. 1. Use asymptotic equality to compute the limit lim (3n+4)(n-2) > (2n+3)(2n+1)* Write out the asymptotics that you are using separately. 2. Use asymptotic equality (~) to compute the limit lim 21(n+3) In(n+1) 002 (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) 2ln(n) as n 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.

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To compute the limit using asymptotic equality we can simplify the expression and use the dominant terms in the numerator and denominator Given lim 3n ... View the full answer