(a) Expand function ex into Tailor series about point x=0. (b) Consider these series truncated after...

 

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(a) Expand function ex into Tailor series about point x=0. (b) Consider these series truncated after the first two terms. Estimate the absolute error of this truncation as a function of x. (c) Consider the function evaluated at x=1, i.e. e¹ = 2.71828. Evaluate the truncated series (as in (b)) at x=1. How does your error estimate from (b) compares to the actual error? (a) Expand function ex into Tailor series about point x=0. (b) Consider these series truncated after the first two terms. Estimate the absolute error of this truncation as a function of x. (c) Consider the function evaluated at x=1, i.e. e¹ = 2.71828. Evaluate the truncated series (as in (b)) at x=1. How does your error estimate from (b) compares to the actual error?