Calculus Examples

$lim_{x \to 3} \frac{7 x}{x - 3}$

Step 1

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

$lim_{x \to 3^{-}} \frac{7 x}{x - 3}$

Step 2

Since the numerator is positive and the denominator $x - 3$ approaches zero and is less than zero for $x$ near $3$ to the left, the function decreases without bound.

$- \infty$