Suppose f is twice differentiable on an interval I containing the point x = c. Taylor's remainder theorem (we will see this in more detail later) says that |f(x) - L(x)| ≤ M\x-c|² where L is the linear approximation for f at x = c, M is the maximum of f"(x) on I and x is close to C. Using this, determine how many digits of accuracy the linear approximation for f(x) = cos(x) at c = 0 approximates cos(0.02). Assume all units are radians.

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