- #1

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I get this...

[tex]\mid x+3\mid\mid x-3\mid < \epsilon[/tex] if [tex] 0< \mid x-3 \mid < \delta [/tex]

then it says with the triangle inequality we see that

[tex]\mid x+3\mid = \mid (x-3)+6\mid \le \mid x-3\mid +6 [/tex]

therefore if [tex] 0< \mid x-3 \mid < \delta [/tex] , then

[tex]\mid x+3\mid\mid x-3\mid \le (\mid x-3\mid+6)\mid x-3\mid < (\delta+6)\delta [/tex]

What I dont understand is how to get this term.. [tex](\delta+6)\delta[/tex] ?

Thanks