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Mathematics
Problem
Let
L
(
k
)
=
lim
x
→
∞
5
x
k
+
1
2
x
4
−
3
.
L(k)=\lim_{x\to\infty}\frac{5x^{k}+1}{2x^{4}-3}.
L
(
k
)
=
x
→
∞
lim
2
x
4
−
3
5
x
k
+
1
.
Identify the greatest integer value of
k
k
k
for which
L
(
k
)
=
0
L(k)=0
L
(
k
)
=
0
. a)
k
=
2
k=2
k
=
2
b)
k
=
4
k=4
k
=
4
c)
k
=
3
k=3
k
=
3
d)
k
=
5
k=5
k
=
5
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