Calculus Examples

$lim_{y \to 0} \frac{e - y^{2}}{y^{2}} - \frac{\sec (y)}{y^{2}}$

Step 1

Consider the left sided limit.

$lim_{y \to 0^{-}} \frac{e - y^{2}}{y^{2}} - \frac{\sec (y)}{y^{2}}$

Step 2

As the $y$ values approach $0$ from the left, the function values increase without bound.

$\infty$

Step 3

Consider the right sided limit.

$lim_{y \to 0^{+}} \frac{e - y^{2}}{y^{2}} - \frac{\sec (y)}{y^{2}}$

Step 4

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

$\infty$