hw-07-8-improper-integ

# hw-07-8-improper-integ - Chapter 7.8 homework As usual only...

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Chapter 7.8 homework As usual, only the even problems are required. --------------------------------------------- Warmup problems: Warmup problems A: What are these limits? (all of these are required, despite some being "odd numbered") While you do not have to show your work, you probably should at least sketch each graph quickly. 1) exp(x) as x goes to infinity 2) exp(x) as x goes to -infinity 3) exp(-x) as x goes to infinity 4) log(x) as x goes to infinity 5) log(x) as x goes to 0 6) sin(x) as x goes to infinity 7) x^-0.1 as x goes to infinity 8) x^-0.1 as x goes to 0 9) x^0.1 as x goes to infinity 10) x^0.1 as x goes to 0 11) x^-2 as x goes to infinity 12) x^-2 as x goes to 0 Warmup Problem B: what is the limit of (x^n) * exp(-x) as x goes to infinity, for any n>0 ? From the textbook: #4 Graph these functions and find these definite integrals I encourage you to use Excel to organize your work. Turn in printouts, not the electronic file. --------------------------------------------- Part I of the assignment: Drill problems: #2 which of these are improper? why?

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