Determine whether the following series converges.

Summation from k equals 2 to infinity left parenthesis negative 1 right parenthesis Superscript k Baseline StartFraction k squared minus 2 Over k squared plus 3 EndFraction?k=2?(?1)kk2?2k2+3

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Part 1

Let

a Subscript kakgreater than>0

represent the magnitude of the terms of the given series. Identify and describe

a Subscript kak.

a Subscript kakequals=11

?(Type an expression using k as the? variable.)

Determine whether the following series converges. Let a, > 0 represent the magnitude of the terms of the given series. Identify and describe a, . ay = IEI (Type an expression using k as the variable.)