Find the true value of the function at x = 1

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(a) Find the best linear approximation, L(x), to f(x) = ex near x = 0.

(b) What is the sign of the error, E(x) = f(x) - L(x) for x near 0?

(c) Find the true value of the function at x = 1. What is the error? (Give decimal answers.) Illustrate with a graph.

(d) Before doing any calculations, explain which you expect to be larger, E(0.1) or E(1), and why.

(e) Find E(0.1).

Reference no: EM131322511

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