# What is the limit of #(2x+3)/(5x+7)# as x goes to infinity?

Notice that the degree of the numerator and the denominator are

the same i.e: 1, for this and all the similar scenarios the limits is

simply the ratio of the leading coefficients of top to bottom:

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The limit of (2x+3)/(5x+7) as x goes to infinity is 2/5.

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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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- What is the limit of #lnx# as x approaches #0#?
- Given #(sin^2(x^2))/(x^4)# how do you find the limit as x approaches 0?

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