Answer by DeepSea for Trying to prove this statement about inequalities
Proof:$|x| - |x_0| < |x - x_0|$ < 1 $\Rightarrow$ $|x| < |x_0| + 1$, and $|y_0| < |y_0| + 1$. So using triangle inequality:$|xy - x_0y_0| = |x(y - y_0) + y_0(x - x_0)| < |x|(|y - y_0|) +...
View ArticleTrying to prove this statement about inequalities
This is from Spivak, this is not homework (just a little fun in my spare time,) and I'd prefer a hint to a full-blown solution. I've been stuck on this for couple days:Prove that if...
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