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Card 8 / 8:
radius of convergence
if there exists a real number R > 0 such that a power series centered at x = a converges for | x − a | < R and diverges for | x − a | > R , then R is the radius of convergence; if the power series only converges at x = a , the radius of convergence is R = 0 ; if the power series converges for all real numbers x , the radius of convergence is R = ∞
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