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Expand the following function as a Taylor Series up to and including the fourth order derivative term.

Expand the following function as a Taylor Series up to and including the fourth order derivative term.

F(x) pi + e^x – e^(-x)

Estimate the number of terms required in the above Taylor series to achieve single precision and double precision accuracy when evaluated at: F(x=0.01)

You must consider all possible epsilon.

Machine epsilon is 1.1e-7 for single precision and 4.4e-16 for double precision.

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