Calculus Examples

$lim_{x \to 0} 1 + \csc (x)$

Change the two-sided limit into a right sided limit.

$lim_{x \to 0^{+}} 1 + \csc (x)$

Split the limit using the Sum of Limits Rule on the limit as $x$ approaches $0$ .

$lim_{x \to 0^{+}} 1 + lim_{x \to 0^{+}} \csc (x)$

Evaluate the limit of $1$ which is constant as $x$ approaches $0$ .

$1 + lim_{x \to 0^{+}} \csc (x)$

As the $x$ values approach $0$ from the right, the function values increase without bound.

$1 + \infty$

Infinity plus or minus a number is infinity.

$\infty$