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Unformatted text preview: (a) f ( x ) = sin( x ) about x = 0 (b) f ( x ) = xe x about x = 0 (c) f ( x ) = e x about x =-1 5. Find the radius of convergence AND the interval of convergence for the following. (a) ∞ X n =2 (-1) n x n 4 n ln n (b) ∞ X n =1 (-1) n x 2 n (2 n )! (c) ∞ X n =1 ( x-5) n n ln n (d) ∞ X n =1 (-3) n ( x + 5) n √ n 6. The section 11.7 has a mix of random series. Please try them for more practice. 7. This test covers section 11.1 to section 11.10. Make sure you can tell the diﬀerence between a sequence and a series. Partial Answer sheet 2. a.) True b.) True c.) False (Why?) d.) False (Which example?) 3. a.) In class. b.) Consider section 11.9 4. a.) Each is a HW question from 11.10 5. a.) R = 4 I = (-4 , 4] b.) R = ∞ I = (-∞ , ∞ )...
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- Spring '08
- Taylor series expansion, bn diverges, Partial Answer sheet