Calculus Examples

$lim_{x \to \frac{π}{2}} \frac{\sin (x)}{1 + \cos (2 x)}$

Step 1

Since the numerator is positive and the denominator $1 + \cos (2 x)$ approaches zero and is greater than zero for $x$ near $\frac{π}{2}$ on both sides, the function increases without bound.

$\infty$