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Mathematics
Mathematics
Problem
If
f
(
x
)
=
∑
i
=
1
n
a
i
∣
x
∣
f(x) = \sum_{i=1}^{n} a_i |x|
f
(
x
)
=
∑
i
=
1
n
a
i
∣
x
∣
, where
a
i
a_i
a
i
's are real constants, then
f
(
x
)
f(x)
f
(
x
)
is a. continuous at
x
=
0
x = 0
x
=
0
for all
a
i
a_i
a
i
b. differentiable at
x
=
0
x = 0
x
=
0
for all
a
i
∈
R
a_i \in R
a
i
∈
R
c. differentiable at
x
=
0
x = 0
x
=
0
, for all
a
2
k
+
1
=
0
a_{2k+1} = 0
a
2
k
+
1
=
0
d. None of the above
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