Evaluate the limit
lim
x
→
0
(
1
−
cos
2
x
)
(
x
2
+
16
)
x
+
3
(
sin
7
x
)
x
\displaystyle \lim_{{{x}\to{0}}}{\frac{{\ {\left({1}-{\cos{{2}}}{x}\right)}{\left({x}^{{2}}+{16}\right)}}}{{{x}}}}+{\frac{{\ {3}{\left({\sin{{7}}}{x}\right)}}}{{{x}}}}
x
→
0
lim
x
(
1
−
cos
2
x
)
(
x
2
+
16
)
+
x
3
(
sin
7
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