# How do you find the limit of #tanx# as #x->pi#?

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The limit of tan(x) as x approaches pi is undefined.

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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 #lim (x^2+4)/(x^2-4)# as #x->2^+#?
- How do you find the limit of #(sin3x)/(2x)# as #x->0#?
- For what values of x, if any, does #f(x) = 1/((x+2)(x+9)) # have vertical asymptotes?
- What is the limit of (1+(a/x) as x approaches infinity?
- For what values of x, if any, does #f(x) = 1/((x-3)(x-2)) # have vertical asymptotes?

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