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How to evaluate limits using derivatives.

A) L'Hôpital's rule
B) Linear interpolation
C) Polynomial regression
D) Logarithmic expression

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Final answer:

Limits can be evaluated using L'Hôpital's rule, linear interpolation, polynomial regression, or logarithmic expression.

Step-by-step explanation:

Limits can be evaluated using several methods, including:

A) L'Hôpital's rule: This rule allows you to evaluate limits of indeterminate forms by taking the derivative of the numerator and denominator and then evaluating the limit again.

B) Linear interpolation: This involves connecting two known points on the function with a straight line and finding the value of the limit at a specific point using the equation of the line.

C) Polynomial regression: This method uses a polynomial function to approximate the behavior of the function near the point where the limit is being evaluated.

D) Logarithmic expression: In some cases, limits can be evaluated by rewriting the function using logarithmic expressions, which can simplify the calculation.

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