Evaluate the limit:
lim
x
→
0
4
x
4
x
+
9
−
3
=
\displaystyle \lim_{{{x}\to{0}}}\frac{{{4}{x}}}{{\sqrt{{{4}{x}+{9}}}-{3}}}=
x
→
0
lim
4
x
+
9
−
3
4
x
=
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\displaystyle