Calculus Examples

lim_{x \to 0} \sec (x)

$lim_{x \to 0} \sec (x)$

Step 1

Move the limit inside the trig function because secant is continuous.

\sec (lim_{x \to 0} x)

$\sec (lim_{x \to 0} x)$

Step 2

Evaluate the limit of

x

$x$ by plugging in

0

$0$ for

x

$x$ .

\sec (0)

$\sec (0)$

Step 3

The exact value of

\sec (0)

$\sec (0)$ is

1

$1$ .

1

$1$

lim_{x \to 0} (\sec (x))

$lim_{x \to 0} (\sec (x))$

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[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$