SOLUTION: Evaluate: lim x -> (-k) (x^2+5kx+4k^2) / (x^2 +kx)

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Question 659978: Evaluate: lim x -> (-k) (x^2+5kx+4k^2) / (x^2 +kx)
Answer by solver91311(24713) About Me  (Show Source):
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Substituting for results in the indeterminate form .

So apply L'Hôpital's Rule:

Since both numerator and denominator are individually continuous functions over their entire domain and the limit is the indeterminate form , the limit of the quotient of the first derivatives is equal to the desired limit.

Take the derivative of the numerator and divide it by the derivative of the denominator, then evaluate the limit as again.

John

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