"SERIES EXPANSION. The series expansion of exp(-x) can be written: ■ exp(-x) = 1 - x + x^2/2! - x^3/3! .... ■ where the ! represents the factorial, for example 3! = 3 * 2 *1= 6. The recurrence term can be written as (-1)^n * x^n / fact(n). The expression can be calculated to any order of N by summing up to that order whichis (N+1) terms. Of course, it can also be evaluated as a function. *** Answer(s) to Problem(s) **** (c) Copyright PCSCC, Inc., 1993The equations are included. Set X=2. Use the summation function which is the @G command (Type @ first then G.). Only active equations (followed by equal sign) are summed. Move cursor to variable N. Type @G then (end esc) 0 to 1 (enter). Repeat for N= 0 to 5 (6 terms) and N=0 to 10 (11 terms). The values of the series are 2 terms (-1), 6 terms (.0666) and 11 terms (0.135). The function value can be obtained by typing (space) q=exp(-2) (enter). Type any key to exit. ||Calculate the value of exp(-x) at x = 2 using 2, 6 and 11 terms of its power series expansion exp(-x) = 1 - x + X^2/2! - x^3/3!.... Type comma key to see entire comment. Type (F2) to return to application file."
