MAT-1120 Midterm: MATH 1120 App State Spring2014 Test3

• School: App State
• Department: Mathematics
• Course: MAT-1120
• Professor: All

Document Summary

Xn=1 which tests you used to determine your answers. (x + 1)n n23n . Show your work indicate (b) suppose f (x) = an(x 3)n is a power series which converges when x = 0 and diverges when x = 8. Xn=0 (i) x = 3 (ii) x = 6. Converges / diverges / need more information (iii) x = 5. Converges / diverges / need more information (iv) x = 1. Find what they sum to. (a) find the sum of. Xn=0 ( 1)n25n (2n)! (b) find the sum of. Xn=0 ( 1)n4n n: (20 points) taylor polynomials (a) let f (x) = x4 + ex+1. Find the 3rd-order taylor polynomial, p3(x), for f (x) centered at a = 1. (b) let f (x) = x4 + ex+1 and p3(x) be as in part (a). ?x3 + ) of the maclaurin series for f (x) = 1 + x. (b) find the taylor series for f (x) =