# How do you find the limit of #(x^2-1)/(x-1)# as #x->1#?

graph{(x^2-1)/(x-1) [-10, 10, -5, 5]}

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To find the limit of (x^2-1)/(x-1) as x approaches 1, we can simplify the expression by factoring the numerator. This gives us (x+1)(x-1)/(x-1). Since (x-1) appears in both the numerator and denominator, we can cancel it out. This leaves us with (x+1). Now, we can substitute x=1 into the simplified expression, which gives us (1+1) = 2. Therefore, the limit of (x^2-1)/(x-1) as x approaches 1 is equal to 2.

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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.

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