# How do you find #lim root3(x+2)# as #x->oo#?

As:

Then:

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To find the limit of √3(x+2) as x approaches infinity, we can simplify the expression by dividing both the numerator and denominator by x. This gives us √3(x/x + 2/x). As x approaches infinity, x/x becomes 1 and 2/x approaches 0. Therefore, the expression simplifies to √3(1 + 0), which is equal to √3. Hence, the limit of √3(x+2) as x approaches infinity is √3.

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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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