# Lim (2x-1)2-9 / x+1 x->-1 How to Evaluate the limit ?

When we try to evaluate this directly we get:

So the limit is indeterminate. A route to evaluating is by first expanding the bracket then simplifying the fraction like so:

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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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