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L'Hopital's Rule, Infinite and Zero Powers and Limits

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Many students incorrectly evaluate the indeterminate forms of type 0^0 , type ∞^0 , and type 1^∞ as 1 because they think that "anything to the zero power is 1" and "1 to any power is 1." These rules are indeed true for powers of numbers. But 00 , ∞0 , and 1∞ are not powers of numbers but descriptions of limits. In this lab, we will see that these indeterminate forms can produce limits that are nonnegative real numbers or limits that are infinite.

Please answer 1,2,5 & 6.

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L'Hopital's Rule, infinite and zero powers and limits are investigated in an attached Word document.

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