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Mathematics
Mathematics
Problem
If
f
(
x
)
=
f(x) =
f
(
x
)
=
x
⋅
ln
(
cos
x
)
ln
(
1
+
x
2
)
\frac{x \cdot \ln(\cos x)}{\ln(1+x^2)}
l
n
(
1
+
x
2
)
x
⋅
l
n
(
c
o
s
x
)
x
≠
0
x \neq 0
x
=
0
0
0
0
x
=
0
x = 0
x
=
0
, then a.
f
f
f
is continuous at
x
=
0
x = 0
x
=
0
b.
f
f
f
is continuous at
x
=
0
x = 0
x
=
0
but not differentiable at
x
=
0
x = 0
x
=
0
c.
f
f
f
is differentiable at
x
=
0
x = 0
x
=
0
d.
f
f
f
is not continuous at
x
=
0
x = 0
x
=
0
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