Is it possible for radius of convergence to be negative?

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is it possible for "R" (radius of convergence) to be negative?

is it possible for "R" (radius of convergence) to be negative?

for example: -|x|<1 and R=-1?
 
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Hurkyl

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What does the definition say?
 

Office_Shredder

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is it possible for "R" (radius of convergence) to be negative?

for example: -|x|<1 and R=-1?
If -|x|< 1,then x can be any number. So it's not a very useful thing to say
 

HallsofIvy

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As Hurkyl said, take any Calculus book and look up the definition of "radius of convergence"!
 

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