Afind the best linear approximation lx to fx ex near x , Ask an Expert

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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?

(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).

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