Calculus 2 Hour Exam 3 - Math 231 Spring, 2012

1.	Mark A if the following series Converge Absolutely, C if the series converge Conditionally, and D if the series diverges. ∞ a. ∑ (-1)^n / √(n^2 + 1) Answer: C n=0 ∞ b. ∑ (-1)^n 2^n / n Answer: D n=1 ∞ c. ∑ (-1)^n e^2/n/ n^5 Answer: A n=2
2.	Select the series that equals (1 + 3x – 4x^2 + ½ x^3 + . . . ) (2 – x + x^2 + 2x^3 + . . . ) a. 2 + 3x + 4x^2 + x^3 + . . . b. 2 - 3x - 4x^2 + x^3 + . . . c. 2 + 5x - 10x^2 + 10x^3 + . . . Answer: c d. 2 - 5x + 6x^2 - 8x^3 + . . . e. 1 - 4x + 5x^2 + 7x^3 + . . .
3.	Underline the series for the function f(x) = [ 1 – cos(x^2) ] / x^2 ∞ ∞ ∑ (-1)^n x^2n - 2 / (2n)! ∑ (-1)^n - 1 x^2n - 2 / (2n – 2)! n=1 n=1 ∞ ∞ ∑ (-1)^n ] x^4n - 2 / (4n - 2)! Σ (-1)^n ] x^4n - 2 / (2n)! n=1 n=1 ∞ ∑ (-1)^n ] x^4n - 2 / (2n)! n=1 _______________ (Answer) Click here to continue with this exam.

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