)evaluating a polynomial derivative numerically for a function f(x), the derivative of the function at a value x can be found by evaluating ௙(௫ା௔)ି௙(௫) ௔ and finding the limit as a gets closer and closer to 0. using the same polynomial as the user entered in part (a), and for the same value of x as entered in part (a), compute the limit numerically. that is, start with an estimate by evaluating ௙(௫ା௔)ି௙(௫) ௔ using a value for a such as 0.1. then, repeatedly halve the value of a until the difference between successive evaluations of ௙(௫ା௔)ି௙(௫) ௔ is less than some small value, such as 10-6. print the result, along with the number of evaluations it took. calculate how close that result is to the actual answer, computed in part (a).