1. Let $f(x)$ be a twice differentiable function at $x = 0$ and suppose that $f'(0) = 2$. Suppose $a$ and $b$ are real numbers and you know that $\lim_{x \to 0} \frac{f(ax) - f(bx)}{x} = 16$. Find the exact value of $a - b$.
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We are given that f(x) is a twice differentiable function at x = 0, which means that f'(x) exists and f''(x) exists at x = 0. Show more…
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