Evaluate
lim
(
x
,
y
)
→
(
0
,
0
)
x
3
+
15
x
2
+
3
y
2
5
x
2
+
y
2
\displaystyle \lim_{{{\left({x},{y}\right)}\rightarrow{\left({0},{0}\right)}}}\ {\frac{{{x}^{{3}}+{15}{x}^{{2}}+{3}{y}^{{2}}}}{{{5}{x}^{{2}}+{y}^{{2}}}}}
(
x
,
y
)
→
(
0
,
0
)
lim
5
x
2
+
y
2
x
3
+
15
x
2
+
3
y
2
=
Use DNE for does not exist, oo for infinity or -oo for negative infinity.
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Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172
Enter DNE for Does Not Exist, oo for Infinity