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Evaluate
lim
(
x
,
y
)
→
(
0
,
0
)
5
x
2
sin
(
y
)
5
x
2
+
5
y
2
\displaystyle \lim_{{{\left({x},{y}\right)}\rightarrow{\left({0},{0}\right)}}}\ {\frac{{{5}{x}^{{2}}{\sin{{\left({y}\right)}}}}}{{{5}{x}^{{2}}+{5}{y}^{{2}}}}}
(
x
,
y
)
→
(
0
,
0
)
lim
5
x
2
+
5
y
2
5
x
2
sin
(
y
)
=
Use DNE for does not exist, oo for infinity or -oo for negative infinity.
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Enter DNE for Does Not Exist, oo for Infinity