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If |f(x)|lex^(2), then prove that lim(xt...

If `|f(x)|lex^(2),` then prove that `lim_(xto0) (f(x))/(x)=0.`

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To prove that \(\lim_{x \to 0} \frac{f(x)}{x} = 0\) given that \(|f(x)| \leq x^2\), we can follow these steps: ### Step 1: Start with the given inequality We know that: \[ |f(x)| \leq x^2 \] ...
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