1. ## limit

sorry im very dumb.. can someone please help me with this:

$\displaystyle lim_{x-> 0} $$\displaystyle \frac{sec^2x}{2} 2. Originally Posted by Dgphru sorry im very dumb.. can someone please help me with this: \displaystyle lim_{x-> 0}$$\displaystyle \frac{sec^2x}{2}$
$\displaystyle \frac{\sec^2{x}}{2} = \frac{1}{2\cos^2{x}}$.

So $\displaystyle \lim_{x \to 0}\frac{\sec^2{x}}{2} = \lim_{x \to 0}\frac{1}{2\cos^2{x}}$

$\displaystyle = \frac{1}{2(\cos{0})^2}$

$\displaystyle = \frac{1}{2(1)^2}$

$\displaystyle = \frac{1}{2}$.