# What is the discontinuity of the function #f(x)=(3x^2+x-4)/(x-1)#?

There is a removable discontinuity at

with exclusion

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The function f(x)=(3x^2+x-4)/(x-1) has a discontinuity at x=1.

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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.

- How do you determine the limit of # (x + 5)/(x-4)# as n approaches #-4^-#?
- For what values of x, if any, does #f(x) = 1/((x^2-4)(x+3) # have vertical asymptotes?
- What is the limit of #(7x^2+x-100)/(2x^2-5x) # as x approaches infinity?
- How do you find any asymptotes of #y=2x+1/x#?
- How do you find the Limit of #1/2x-1# as #x->-4# and then use the epsilon delta definition to prove that the limit is L?

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