How do you find the limit of #ln((2x)/(x+1))# as x approaches infinity?
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To find the limit of ln((2x)/(x+1)) as x approaches infinity, we can use the properties of logarithms and limits. By applying the limit properties, we can simplify the expression as follows:
ln((2x)/(x+1)) = ln(2x) - ln(x+1)
As x approaches infinity, ln(2x) and ln(x+1) both tend to infinity. Therefore, the limit of ln((2x)/(x+1)) as x approaches infinity is also infinity.
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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.
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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