# How do you find the #lim_(x to 3) sqrt(x+1)/(x-4)#?

The limit is the expression evaluated at 3.

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To find the limit of sqrt(x+1)/(x-4) as x approaches 3, we can substitute the value of 3 into the expression. However, this results in an undefined expression since it leads to division by zero. Therefore, the limit 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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- How do you find the limit of #sqrt(x+e^(4x))/(e^(2x)+x)# as #x->oo#?
- How do you find the limit of #ln(1+x)-lnx# as #x->oo#?

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