In calculus, we learn that e = lim/,^o(l + h)^h . a. Determine approximations to e corresponding to h 0.04, 0.02, and 0.01. b. Use extrapolation on the approximations, assuming that constants K\, K2, ..., exist with e {l+h)l/h+ K]h + K2h: + K^h3 , to produce an 0(/i3 ) approximation to c, where A = 0.04. c. Do you think that the assumption in part (b) is correct?

Math Essentials Notes: WHOLE NUMBERS Place Value, Names for Numbers and Reading Tables Place Value o 1. 3,450 0 is in the ones place 5 is in the tens place 4 is in the hundreds place 3 is in the thousands place Standard Form = written in words o 1,083,664,500 One million, Eighty-three million, Six hundred sixty-four thousand, Five hundred o Six Thousand, Four hundred ninety-three 6,493 Expanded Form o 5,672 5,000 + 600 + 70 +2