# How do you find the limit #(x+5)(1/(2x)+1/(x+2))# as #x->oo#?

First write it as a single ratio.

Therefore,

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To find the limit of the expression (x+5)(1/(2x)+1/(x+2)) as x approaches infinity, we can simplify the expression first. By multiplying the terms, we get (x+5)/(2x) + (x+5)/(x+2).

Next, we can divide each term by the highest power of x in the denominator, which is x in this case. This gives us 1/2 + 1 = 3/2.

Therefore, the limit of the expression as x approaches infinity is 3/2.

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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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- How do you find the limit of #sqrt((4-x^2))# as x approaches #-2#?

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