How do you evaluate # (x^2-16) /( x^2+3x-4)# as x approaches 1+?
Please see the explanation section, below.
A negative numerator and a positive denominator give us negative values.
We abbreviate the previous sentence by writing
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To evaluate the expression (x^2-16) / (x^2+3x-4) as x approaches 1+, we substitute the value of x into the expression.
(x^2-16) / (x^2+3x-4) = ((1+)^2-16) / ((1+)^2+3(1+)-4)
Simplifying further:
((1+)^2-16) / ((1+)^2+3(1+)-4) = (1-16) / (1+3+3-4)
Calculating:
(-15) / (3) = -5
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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.
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.
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.
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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