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Mathematics
Mathematics
Problem
For the function
h
(
x
)
=
7
x
3
+
2
3
∣
x
3
∣
+
5
h(x)=\dfrac{7x^{3}+2}{3\lvert x^{3}\rvert+5}
h
(
x
)
=
3
∣
x
3
∣
+
5
7
x
3
+
2
, determine each of the following limits. (a)
lim
x
→
∞
h
(
x
)
\displaystyle\lim_{x\to\infty}h(x)
x
→
∞
lim
h
(
x
)
(b)
lim
x
→
−
∞
h
(
x
)
\displaystyle\lim_{x\to-\infty}h(x)
x
→
−
∞
lim
h
(
x
)
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