# What is the vertical asymptote of #y=1/x#?

Well, basically the y axis is the vertical asymptote of this function.

You can see this by trying to get near to it giving values of x near and around the value of zero (which is prohibited!!!)

You'll find that getting near to zero (from the positive or negative side) will give you values of y very big (positively and negatively) as in figure:

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The vertical asymptote of the function y=1/x is the line x=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 # (sin (4x)) / (tan(5x)) # as x approaches 0?
- How do you evaluate the limit #2cos(1/x)+1# as x approaches #oo#?
- What is the limit of #(x^2+x^3)# as x approaches infinity?
- How do you find any asymptotes of #f(x)=x/(x-5)#?
- How do you find the limit of #(costhetatantheta)/theta# as #theta->0#?

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