How do you find all the values that make the expression undefined: #(m - 3)/(3 - m)#?

Answer 1
Your expression is undefined when you get the value #m=3#; in this case you end up with #0/0# which cannot be evaluated. On the other hand your expression is interesting because collecting #-1# from the numerator you get: #-(3-m)/(3-m)=-1# !!!
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Answer 2

The expression (m - 3)/(3 - m) is undefined when the denominator, 3 - m, equals zero. To find the values that make the expression undefined, we set the denominator equal to zero and solve for m.

3 - m = 0

Adding m to both sides:

3 = m

Therefore, the expression is undefined when m = 3.

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Answer from HIX Tutor

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.

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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