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Mathematics
Mathematics
Problem
The statement
lim
h
→
0
f
(
−
x
)
−
f
(
−
x
−
h
)
h
\lim_{h \to 0} \frac{f(-x) - f(-x-h)}{h}
lim
h
→
0
h
f
(
−
x
)
−
f
(
−
x
−
h
)
=
lim
h
→
0
f
(
x
)
−
f
(
x
−
h
)
−
h
= \lim_{h \to 0} \frac{f(x) - f(x-h)}{-h}
=
lim
h
→
0
−
h
f
(
x
)
−
f
(
x
−
h
)
implies that for all
x
∈
R
x \in R
x
∈
R
, a.
f
f
f
is odd b.
f
f
f
is even c.
f
f
f
is neither even nor odd d. Nothing can be concluded
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