# If limit of #f(x)=27# as #x->c#, what the limit of #(f(x))^2# as #x->c#?

We will use the rule:

So, we see that:

And:

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If the limit of f(x) is 27 as x approaches c, then the limit of (f(x))^2 as x approaches c is 729.

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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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