This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: (a) Which one is it? (b) If it converges, compute the exact sum of the series. If it diverges, explain why. 4. (10 pts.) Find the radius of convergence of ∞ s n =2 2 n +1 ( x + 2) n 3 n 2 5. (10 pts.) Express f ( x ) = x 2 + x as a power series centered at 0. 6. (10 pts.) Find the quadratic approximation for f ( x ) = (1 + x ) 1 / 3 centered at 0. 7. (10 pts.) Find the ±fth order approximation of f ( x ) centered at 0, given that f (0) = 2 and the derivative of f is f ′ ( x ) = cos x 1 + x 2 2...
View
Full Document
 Fall '08
 STAFF
 Calculus, pts

Click to edit the document details