# How do you find the limit of #abs(8x-56)/ (x-7)# as #x->7^-#?

You need to consider exclusively values of

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To find the limit of abs(8x-56)/ (x-7) as x approaches 7 from the left (x->7^-), we can substitute the value of x into the expression. However, since the denominator becomes zero at x=7, we need to simplify the expression before substituting.

First, we can factor out 8 from the numerator: abs(8(x-7))/ (x-7).

Next, we can cancel out the common factor of (x-7) in the numerator and denominator: abs(8).

Therefore, the limit of abs(8x-56)/ (x-7) as x approaches 7 from the left is simply 8.

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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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