- #1
maximus101
- 22
- 0
If we suppose [tex]a[/tex] > 0 is some constant and f: R [tex]\rightarrow[/tex] R is
f(x) = [tex]|x|^a[/tex] sin(1/x) if x [tex]\neq[/tex] 0
and
f(x) =0 if x=0
if we let F(x) := f '(x) for x [tex]\neq[/tex] 0 and F(0) :=0. For what values of
[tex]a[/tex] is F a continuous function in R
f(x) = [tex]|x|^a[/tex] sin(1/x) if x [tex]\neq[/tex] 0
and
f(x) =0 if x=0
if we let F(x) := f '(x) for x [tex]\neq[/tex] 0 and F(0) :=0. For what values of
[tex]a[/tex] is F a continuous function in R