# Evaluate #lim_(x rarr oo) (2x)/3 * sin(3/x )* sec(5/x)# ?

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if your question was ypu must use laplace law

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The limit of (2x)/3 * sin(3/x) * sec(5/x) as x approaches infinity is 0.

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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 of #sqrt((x^2)+9x-8)+x# as x approaches infinity?
- What are the asymptotes of #f(x)=-x/((x^2-8)(9x-2) #?
- What is # lim_(->-oo) f(x) = sinx/(x^2-8)-1/(9-x^2)#?
- How do you determine the limit of #(x+2) / (x+3)# as x approaches 3-?
- For what values of x, if any, does #f(x) = -tan(pi/12-x) # have vertical asymptotes?

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