# How do you determine the limit of #3/(x+1) # as x approaches -1?

Hence the limit diverges.

graph{3/(x+1) [-12.66, 12.64, -6.32, 6.34]}

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To determine the limit of 3/(x+1) as x approaches -1, we can substitute -1 into the expression and evaluate it. By substituting -1 for x, we get 3/(-1+1), which simplifies to 3/0. However, division by zero is undefined in mathematics. Therefore, the limit of 3/(x+1) as x approaches -1 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.

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