Evaluate the limit:
lim
x
→
0
4
x
+
16
−
4
x
\displaystyle \lim_{{{x}\to{0}}}\ \frac{{\sqrt{{{4}{x}+{16}}}-{4}}}{{x}}
x
→
0
lim
x
4
x
+
16
−
4
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\displaystyle
Enter your answer as a reduced fraction (like 5/3, not 10/6) or as an integer (like 4 or -2)
Do not enter mixed numbers
Enter DNE for Does Not Exist, oo for Infinity