104s11mnoans

# Determine the limit of the sequence x n 3 14 n π n

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12. Determine the limit of the sequence x n = ( - 3 . 14) n π n as n → ∞ . (a) 0 (b) ln 2 (c) 1 (d) 2 - 1 (e) ln( π/ 2) (f) The limit does not exist. 13. The series 1 - 1 2 2 + 1 3 2 - 1 4 2 + 1 5 2 - 1 6 2 + · · · 14. The series summationdisplay n =2 2 n ln( n ) summationdisplay n =2 2 n . summationdisplay n =2 2 n . 15. The series summationdisplay n =1 n ! e n 2

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16. Find the radius of convergence of the series summationdisplay n =0 n 2 ( n - 3) 2 ( ex - π ) n . (a) e (b) 1 /e (c) π (d) 1 (e) e/π (f) π/e
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• Spring '08
• Temkin

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