Calculus Examples

$lim_{x \to π^{+}} \frac{\sqrt{x}}{\csc (x)}$

Step 1

Evaluate the limit.

Tap for more steps...

Step 1.1

Split the limit using the Limits Quotient Rule on the limit as $x$ approaches $π$ .

$\frac{lim_{x \to π^{+}} \sqrt{x}}{lim_{x \to π^{+}} \csc (x)}$

Step 1.2

Move the limit under the radical sign.

$\frac{\sqrt{lim_{x \to π^{+}} x}}{lim_{x \to π^{+}} \csc (x)}$

Step 2

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

$\frac{\sqrt{π}}{lim_{x \to π^{+}} \csc (x)}$

Step 3

As the $x$ values approach $π$ from the right, the function values decrease without bound.

$\frac{\sqrt{π}}{- \infty}$

Step 4

Anything finite divided by infinity is zero.

$0$