# #lim_(x->oo)((x - 1)/(x + 1) )^x =# ?

or

so

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The limit of ((x - 1)/(x + 1))^x as x approaches infinity is equal to e^(-2).

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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 find the limit #lim 3^t-2^t# as #t->oo#?
- Given #sin x/ x^2# how do you find the limit as x approaches 0?
- How do you use continuity to evaluate the limit #arctan(x^2-4)/(3x^2-6x)#?
- Given #(u^4 + 3u + 6)^(1/2)# how do you find the limit as u approaches -2?
- How do you find the vertical asymptote of a rational function?

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