# What is the limit of #(t^2 - 3)^3(t + 3)^5 # as t approaches -2?

As Eddie noted a couple months ago:

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The limit of (t^2 - 3)^3(t + 3)^5 as t approaches -2 is 0.

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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.

- What is the limit of #e^(2x) / x^2# as x approaches infinity?
- How do you determine the limit of #( (1 / x ) - (1/x^2) )# as x approaches 0+?
- How do you find the limit #(sqrt(y+1)+sqrt(y-1))/y# as #y->oo#?
- How do you find the limit of #3/sqrt(x-5) # as x approaches #5^+#?
- What is the limit of #sqrt(9x+x^2)/(x^4+7) # as x approaches infinity?

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