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Mathematics
Mathematics
Problem
Consider
f
(
x
)
=
{
8
x
−
4
x
−
2
x
+
1
x
2
,
x
>
0
e
x
sin
x
+
π
x
+
k
log
4
,
x
<
0
f(x) = \begin{cases} \frac{8^x - 4^x - 2^x + 1}{x^2}, & x > 0 \\ e^x \sin x + \pi x + k \log 4, & x < 0 \end{cases}
f
(
x
)
=
{
x
2
8
x
−
4
x
−
2
x
+
1
,
e
x
sin
x
+
π
x
+
k
lo
g
4
,
x
>
0
x
<
0
Then,
f
(
0
)
f(0)
f
(
0
)
so that
f
(
x
)
f(x)
f
(
x
)
is continuous at
x
=
0
x=0
x
=
0
, is a.
log
4
\log 4
lo
g
4
b.
log
2
\log 2
lo
g
2
c.
(
log
4
)
(
log
2
)
(\log 4)(\log 2)
(
lo
g
4
)
(
lo
g
2
)
d. None of these
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