The most efficient way to implement the Ratio test in Maple, is to define the general term as a function .
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Context Panel: Assign Function
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Calculus palette: Limit operator
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Context Panel: Evaluate and Display Inline
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This is series that Maple can sum exactly, and that also establishes its absolute convergence, provided the evidence of a computer computation is taken as sufficient mathematical proof.
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Expression palette: Summation template
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Context Panel: Evaluate and Display Inline
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