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Step 1

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Step 2

**Problem 4:**

Given that *(X, d _{X})* and

*d _{X x Y} ((x_{1} , y_{1}), (x_{2} , y_{2})) = d_{X } (x_{1} , x_{2}) + d_{Y} (y_{1} , y_{2})*

Step 3

To prove that *(xn , yn) *tends to *(x, y)* in *X x Y* if and only if *xn* tends to *x *in* X *and *yn* t...

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