Calculus - Limits (Epsilon Delta Proofs): Limit of a Rational Function (Example 4) - Part 2

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In this video, we present an Epsilon Delta proof for the Limit of a Rational Function. In this example, the rational function contains a quadratic that needs to be explored in relation to a restriction around |x - a|.
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2:52 Why did it imply 3epsilon and not epsilon/3 ???
1/3 is multiplying episilon on the right side of the inequality.

vitorrosachaves
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|x-0| /|xsq +1| < |x|/(1/3) < epsilon
|x |< 1/3 epsilon

3 is the upper bound on
1/| xsq +1|
Please verify
Thanks

WritersDigest-bf