# What is # lim_(x->-oo) f(x) = sinx/(x-8)#?

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The numerator oscillates between -1 to 1, while the denominator tends towards negative infinity. Division of a finite number over an number that becomes arbitrarily large results in zero.

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The limit of f(x) as x approaches negative infinity is equal to zero.

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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 evaluate the limit #sin(ax)/sin(bx)# as x approaches #0#?
- What is the discontinuity of the function #f(x) = |x-5|/(x-5)# ?
- Given #f(x) = (x^2 + x - 6)/ (x + 3)# how do you find the limit as x approaches -2?

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