# Does tan(x) have points of discontinuity?

The discontinuities are non-removable, infinite discontiuities.

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Yes, tan(x) has points of discontinuity. Specifically, tan(x) is discontinuous at x = (n + 1/2)π, where n is an integer.

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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.

- For what values of x, if any, does #f(x) = 1/((x+1)(x-6)) # have vertical asymptotes?
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- How do you find the limit of #(1/x)^x# as x approaches infinity?
- How do you find the limit of #(3x+1/x) - (1/sinx)# as x approaches 0 using l'hospital's rule?
- How do you find the limit of #ln ( (x+1) / x )# as x approaches infinity?

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