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