Evaluate
lim
(
x
,
y
)
→
(
0
,
0
)
1
−
cos
(
x
y
)
x
2
y
2
(
7
+
y
)
\displaystyle \lim_{{{\left({x},{y}\right)}\rightarrow{\left({0},{0}\right)}}}\ {\frac{{{1}-{\cos{{\left({x}{y}\right)}}}}}{{{x}^{{2}}{y}^{{2}}{\left({7}+{y}\right)}}}}
(
x
,
y
)
→
(
0
,
0
)
lim
x
2
y
2
(
7
+
y
)
1
−
cos
(
x
y
)
=
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Question 6
Use DNE for does not exist, oo for infinity or -oo for negative infinity.
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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