Let f(x) be a real and continuous function, with n+1 continuous derivatives in the closed interval [a,b]. Consider the Taylor series of the function f(x) around the point x0, such that x0 belongs to [a,b],

1. Present a flowchart, in details, of a program which reads the real numbers x0, N, c, the function f(x) and that calculates the error made when x=c, where c belongs to [a,b], when we truncate the Taylor series of order N. Consider that the derivatives are given by some subroutine.
2. Use any program language to program the flowchart above, including commentaries.

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