Unformatted text preview: rules you are using. (a) ∞ ∑ n = 1 ln ( n ) (b) ∞ ∑ n = 1 ln ( n ) n 4. (15 points) Find the radius and interval of convergence for the series ∞ ∑ n = x n √ n 2 n . 5. (15 points) Find the Taylor series of sin ( 3 x ) at a = 2 π / 3. 6. (15 points) Find the ﬁrst three nonzero terms in the Maclaurin series of xex 1 + x . d dx ³ sin1 x ´ = 1 √ 1x 2 , 1sin 2 θ = cos 2 θ , sin 2 θ = 1 2 ( 1cos 2 θ ) d dx ³ tan1 x ´ = 1 1 + x 2 , 1 + tan 2 θ = sec 2 θ , cos 2 θ = 1 2 ( 1 + cos 2 θ )...
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 Fall '08
 wang
 Math, Calculus, Taylor Series, nth term, incorrect work

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