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Unformatted text preview: Exam 3, Day 2 Name: /
Fall 2009 8. (10 pts.) Assume that b and c: are ﬁxed, positiveF constants and consider the series i + 1):2
‘ b“ 11m,
71:2 (a) Apply the root or ratio test to this series. Write your answer in the form p : something. (1)) For what values of b and C is this series convergent? a» aw (C(n+l\1—l\L . Efﬁe
an En.“ JAJVH-l‘ (CATI S?- ( Car «11-h»: My} - /
(ﬁrm-I) 2' #0th b A/Am/ In H 9. (10 pts.) Suppose that f(;1,") is a. function with the following properties: Compute the fourth order approximation of f centered at 0. Bonus: Guess a simple formula for the function f Convince me that. your guess is correct. ...
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- Fall '08