How do you evaluate limits of # lim 9/(x-3)^2# where x-3?
#lim_(x to 3) 9/(x-3)^2#
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Emily AmmermanTo evaluate the limit of 9/(x-3)^2 as x approaches 3, we can use the concept of limits. By substituting x=3 into the expression, we get 9/(3-3)^2, which simplifies to 9/0. However, division by zero is undefined. Therefore, the limit does not exist.
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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.
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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