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Mathematics
Problem
Let
a
a
a
and
b
b
b
be nonzero constants. Evaluate
lim
x
→
−
∞
a
x
4
+
7
b
x
5
−
3
x
\displaystyle\lim_{x\to -\infty}\frac{a x^{4}+7}{b x^{5}-3x}
x
→
−
∞
lim
b
x
5
−
3
x
a
x
4
+
7
.
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