Calculus Examples

$lim_{x \to 1} \ln (x - 1)$

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

$lim_{x \to 1^{+}} \ln (x - 1)$

As $x$ approaches $1$ from the right side, $\ln (x - 1)$ decreases without bound.

$- \infty$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$