Integral Test for Convergence | Conditions & Examples

Give examples that show that the convergence of a power series at an endpoint of its interval of convergence may be either conditional or absolute. Explain your reasoning. | Numerade

Let p and q be real numbers with p<q. Find a power series whose interval of convergence is (a) (p, q) (b) (p, q] (c) [p, q) (d) [p, q] | Numerade

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'Convergence /Divergence of a Power Series in (xa): Exactly one ofthe following is tue: The series convergss ony for "The series covers abwoluely forallx, 'The series converges and fo all xin the interval (-R, and diverges everyubere else, ALa-R and the sercs may coaver absolutely, convene conditionally, of divens: you must check these endpoints - iFunny

The Divergent Series: Insurgent