# What is the limit of #(e^t - 1) / t^3# as t approaches 0?

graph{(e^x-1)/x^3 [-6.79, 13.21, -1.48, 8.52]}

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The limit of (e^t - 1) / t^3 as t approaches 0 is 1/6.

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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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