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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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- #1

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

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

Last edited:

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Hurkyl

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What does the definition say?

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Office_Shredder

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If -|x|< 1,then x can be any number. So it's not a very useful thing to sayis it possible for "R" (radius of convergence) to be negative?

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

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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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