Calculus Examples

$lim_{x \to 0} \sec^{2} (x)$

Step 1

Evaluate the limit.

Tap for more steps...

Step 1.1

Move the exponent $2$ from $\sec^{2} (x)$ outside the limit using the Limits Power Rule.

${(lim_{x \to 0} \sec (x))}^{2}$

Step 1.2

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

$\sec^{2} (lim_{x \to 0} x)$

Step 2

Evaluate the limit of $x$ by plugging in $0$ for $x$ .

$\sec^{2} (0)$

Step 3

Simplify the answer.

Tap for more steps...

Step 3.1

The exact value of $\sec (0)$ is $1$ .

$1^{2}$

Step 3.2

One to any power is one.

$1$