Why does Munkres use 3δ instead of δ in exercise 22.12?

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[SOLVED] Munkres Exercise 22.12

Homework Statement


Please stop reading unless you have Munkres topology textbook.
Why does Munkres use [tex]3 \delta[/tex] instead of [tex]\delta[/tex] in part b? I get that replacing the [tex]3 \delta[/tex] by [tex]\delta[/tex] works fine.

Homework Equations


The Attempt at a Solution

 

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\delta does seem to work fine...