MAC 2312 Midterm: Exam-3-Review-MAC-2312

• School: University of Florida
• Department: Math-Calculus & Precalculus
• Course: MAC 2312
• Professor: All

Document Summary

Exam 3 - review: taylor series of a function f centered at x = a is given by f (x) = cn = f n(a) n! When a = 0, we call it a maclaurin series. Make sure you know them before you go to the exam!!! (even though this list will be provided on the exam. ) 1 x (b) ex = (c) ln(1 + x) = (d) ln(1 x) = (e) arctan(x) = (f) sin(x) = (g) cos(x) : find the roc and ioc of the followings: (a) (b) 4nn x2n (2n): find taylor series expansion of the following functions centered at given point with- Then nd the radius of con- vergence and the interval of convergence for each. (a) f (x) = ; x = 0 x2 (2 x3)2 (b) f (x) = ex+2 (c) f (x) = (x 1)e3x.