Re: Several Variable Calculus
Consider the two metrics d(\mathbf{x}, \mathbf{y}) = ||\mathbf{x} - \mathbf{y}|| and
\delta(\mathbf{x}, \mathbf{y}) = \frac{d(\mathbf{x}, \mathbf{y})}{1 +d(\mathbf{x}, \mathbf{y})} (you may assume they are metrics).
i) Show that d and δ are not equivalent.