Show, directly from the definitions, if a > 0 and the sequence (an)-1 converges to a,...

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Show, directly from the definitions, if a > 0 and the sequence (an)-1 converges to a, then the sequence (an¹/3)=1 converges to a 1/3. [Suggestion: Use the identity (x^3 - y^3) = (x - y) (x^2 + xy + y^ 2). Show, directly from the definitions, if a > 0 and the sequence (an)-1 converges to a, then the sequence (an¹/3)=1 converges to a 1/3. [Suggestion: Use the identity (x^3 - y^3) = (x - y) (x^2 + xy + y^ 2).