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Mathematics
Problem
Evaluate the following limits:
lim
x
→
0
(
1
−
3
x
−
4
x
+
12
x
)
(
2
cos
x
+
7
)
−
3
\lim_{x \rightarrow 0} \frac{(1 - 3^x - 4^x + 12^x)}{\sqrt{(2 \cos x + 7)} - 3}
x
→
0
lim
(
2
cos
x
+
7
)
−
3
(
1
−
3
x
−
4
x
+
1
2
x
)
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