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

Question 659978: Evaluate: lim x -> (-k) (x^2+5kx+4k^2) / (x^2 +kx)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Substituting

for

results in the indeterminate form

.

So apply L'H�pital'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

My calculator said it, I believe it, that settles it

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