Evaluate the limit using L'Hospital's rule if necessary
lim
x
→
∞
(
9
x
9
x
+
1
)
3
x
\displaystyle \lim_{{{x}\rightarrow\infty}}{\left({\frac{{{9}{x}}}{{{9}{x}+{1}}}}\right)}^{{{3}{x}}}
x
→
∞
lim
(
9
x
+
1
9
x
)
3
x
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\displaystyle
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity