Which of the following cannot be an interval of convergence for a power series:

[pr_angeleyes]

Which of the following cannot be an interval of convergence for a power series:
a)-1<x>1
b)-1<=x<=1
c)inf<x<+inf
d)0<x<+inf
e) x=0

 

[pka]

Which of the following cannot be an interval of convergence for a power series:
a)-1<x>1
b)-1<=x<=1
c)inf<x<+inf
d)0<x<+inf
e) x=0

I think that you typed option a) incorrectly. Should it be a) \(\displaystyle -1<x<1~?\)

 

[HallsofIvy]

Which of the following cannot be an interval of convergence for a power series:
a)-1<x>1
b)-1<=x<=1
c)inf<x<+inf
d)0<x<+inf
e) x=0

You seem to have written both (a) and (c) incorrectly. I presume that in (a) you meant -1< x< 1 and in I(c) -inf< x< +inf.