# How do you find the limit of #(x-5)/(x^2-25)# as #x->5#?

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To find the limit of (x-5)/(x^2-25) as x approaches 5, we can simplify the expression by factoring the denominator. The denominator can be factored as (x-5)(x+5). Canceling out the common factor of (x-5), we are left with 1/(x+5).

Now, substituting x=5 into the simplified expression, we get 1/(5+5) = 1/10.

Therefore, the limit of (x-5)/(x^2-25) as x approaches 5 is 1/10.

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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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