If and Then Does Not Converge to a Finite

question 76

Multiple Choice

If and then does not converge to a finite limit as .
For proving, we assume that exists and is finite. Then
By the Quotient Rule and by the Product Rule .
Which of the statements below completes the proof?

• A) From , it follows that 1=0, which is a contradiction.
• B) From , we can conclude that , which contradicts our assumption.
• C) From , we can conclude that , which contradicts our assumption.
• D) From , we can conclude that , which contradicts our assumption.
• E) A and C are correct.

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Definitions:

Agricultural Lands

Areas designated for the purpose of farming and cultivation to produce food and other crops.

French And Indian War

A conflict between British and French forces in North America from 1754 to 1763, part of a larger series of wars, which also involved various Native American tribes.

Treaty Of Paris

The 1783 agreement that ended the American Revolutionary War, recognizing American independence from Britain.

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