Calculus Examples

$lim_{y \to 6} \frac{y + 6}{y^{2} - 36}$

Step 1

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

$lim_{y \to 6^{+}} \frac{y + 6}{y^{2} - 36}$

Step 2

Since the numerator is positive and the denominator $y^{2} - 36$ approaches zero and is greater than zero for $y$ near $6$ to the right, the function increases without bound.

$\infty$