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Mathematics
Mathematics
Problem
A function
f
f
f
satisfies
x
4
≤
f
(
x
)
≤
x
2
+
x
4
x^{4}\le f(x)\le x^{2}+x^{4}
x
4
≤
f
(
x
)
≤
x
2
+
x
4
for all
∣
x
∣
<
1
|x|<1
∣
x
∣
<
1
. Determine
lim
x
→
0
f
(
x
)
\displaystyle \lim_{x\to 0} f(x)
x
→
0
lim
f
(
x
)
. a)
1
2
\dfrac12
2
1
b) The limit does not exist c)
0
0
0
d)
1
1
1
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