# What are the asymptote(s) and hole(s), if any, of # f(x) = secx#?

There are vertical asymptotes at

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The function f(x) = secx has vertical asymptotes at x = π/2 + nπ and x = -π/2 + nπ, where n is an integer. There are no horizontal asymptotes or holes in the graph of f(x) = secx.

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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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