First, notice that the given expression is a closed-form expression, and that x = 3 is in its domain. (Note: the 3- means that x is approaching +3, but from the left.)

Thus, we can evaluate the limit by substitution:

lim  x3

2x + 3 x + 3

=

2(3) + 3 (3) + 3

=

9 6

=

3 2

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