Calculus Examples

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

Step 1

Move the limit inside the logarithm.

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

Step 2

Evaluate the limit of $x$ by plugging in $1$ for $x$ .

$\frac{\ln (1)}{x - 1}$

Step 3

Simplify the answer.

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Step 3.1

The natural logarithm of $1$ is $0$ .

$\frac{0}{x - 1}$

Step 3.2

Divide $0$ by $x - 1$ .

$0$