When Can You Apply Each Limit Law? The Conditions Behind Sum, Product, and Quotient

The limit laws are arithmetic performed on limits, and each one has a precondition: the limits being combined must exist, the quotient law needs a nonzero denominator limit, and an even root law needs a nonnegative limit. When a condition fails, rewrite the expression instead of forcing the rule.

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Select Each Limit Law Used to Justify the Computation: lim (x³ + 3x² + 5)/(4 − 7x)