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What is #lim_(xrarr4) ([(x^2) + 5x + 4] / [(x^2) + 3x -4]) #?

Answer 1

Samantha Adkison

I found #5/3#

Using #4# directly into your function you get: #lim_(x->4)(x^2+5x+4)/(x^2+3x-4)=(4^2+5*4+4)/(4^2+3*4-4)=40/24=5/3#

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Answer 2

Luke Alvarez

The limit of (x^2 + 5x + 4) / (x^2 + 3x - 4) as x approaches 4 is 3.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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