Limit of the function sec(x)

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 lim sec(x)
x->oo

\lim_{x \to \infty} \sec{\left(x \right)}

Limit(sec(x), x, oo, dir='-')

Lopital's rule

There is no sense to apply Lopital's rule to this function since there is no indeterminateness of 0/0 or oo/oo type

The graph

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Rapid solution [src]

<-oo, oo>

\left\langle -\infty, \infty\right\rangle

Expand and simplify

Other limits x→0, -oo, +oo, 1

\lim_{x \to \infty} \sec{\left(x \right)} = \left\langle -\infty, \infty\right\rangle

\lim_{x \to 0^-} \sec{\left(x \right)} = 1

\lim_{x \to 0^+} \sec{\left(x \right)} = 1

\lim_{x \to 1^-} \sec{\left(x \right)} = \sec{\left(1 \right)}

\lim_{x \to 1^+} \sec{\left(x \right)} = \sec{\left(1 \right)}

\lim_{x \to -\infty} \sec{\left(x \right)} = \left\langle -\infty, \infty\right\rangle

The graph