Evaluate the limit: `lim_{u->3}sqrt{u^2+3u+5}`

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When evaluating limits, try direct substitution first, then if necessary, move on to factoring, rationalization or one-sided limits. In this case, direct substitution will work:

`lim_{u->3}sqrt{u^2+3u+5}` replace each u value with 3

`=sqrt{3^2+3(3)+5}`

`=sqrt{9+9+5}`

`=sqrt23`

**The limit evaluates to `sqrt23` .**

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