# What is #lim_(x->oo) (x^2-x)# ?

Instead, note that:

and both:

So we find:

Alternatively, let's try a slightly more formal approach...

and

Hence:

Therefore:

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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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- Given #(x−4)/ (x^2+6x−40)# how do you find the limit as x approaches 4?
- How do you evaluate the limit #(sin^2xcosx)/(1-cosx)# as x approaches #0#?
- How do you find the Limit of #ln (x)/ln (3x) # as x approaches infinity?
- How do you evaluate the limit #(abs(x+2)-2)/absx# as x approaches #0#?

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