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19 December, 20:25

Find the local linear approximation of f (x) = e^2x at x = 0.

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  1. 19 December, 21:30
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    A local linear approximation can be found by taking the first two terms of the Taylor series of the function.

    For f (x) = e^2x at x = 0,

    f (x) ≈ f (0) + f' (0) (x)

    = 1 + 2x
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