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function f(x) and order up to n. This uses series Coefficient (f[x, 0, n]) and is inverse Z-transform. This can be

understood and easily evaluated by the following given below examples:-

Since the function f(x) = sin x, so f’(x) = cos x, and f”(x) = -sin x, f’”(x) = -cos x, f’”’(x) = sinx. Now the 4

derivative gets us back to the initial function

Values for these functions if x = 0 will be 0, 1, 0,-1 and again 0, 1, 0,-1 and so on.

Let substitute the values into Maclaurin Series we get

f(x) = sin x = 0+x+0+(-x

Since the function f(x) = e

f(x) = e

Values for these functions if x = 0 will be 1,1,1,1, so on.

Let’s substitute the values into Maclaurin Series we get

f(x) = e