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# hwk2 - Math 408D Calculus II Fall 2008 Instructor Geir...

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Math 408D Calculus II Fall 2008 Instructor: Geir Helleloid Homework 2: Due Tuesday, September 9 1. (Section 8.8 #32) Determine whether or not R 1 0 dx 1 - x 2 is convergent, and evaluate it if it is convergent. 2. (Section 8.8 #34) Determine whether or not R 1 0 1 4 y - 1 dy is convergent, and evaluate it if it is convergent. 3. (Section 8.8 #40) (*** This is the “writing” question. Please write out your solution as though you were explaining it to a classmate who is having trouble understand the material. Write out all steps clearly and correctly with explanatory text indicating why you chose to take each step. See the examples posted on Blackboard for guidance. ***) Determine whether or not R 1 0 ln x x dx is convergent, and evaluate it if it is convergent. 4. (Section 12.1 #6) List the first five terms of the sequence a n = n +1 3 n - 1 (start at n = 1). 5. (Section 12.1 #12) Find a formula for the general term a n of the sequence {- 1 4 , 2 9 , - 3 16 , 4 25 , . . . } (assuming that the pattern continues).

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hwk2 - Math 408D Calculus II Fall 2008 Instructor Geir...

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