Calculus Examples

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

Step 1

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

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

Step 2

Since its numerator approaches a real number while its denominator is unbounded, the fraction $\frac{y}{\ln (1 - y)}$ approaches $0$ .

$0$