Infinite Limits — Question 10

Question 10 - Solution

We are given: $$\lim_{x \to 3^+} \frac{5}{x - 3}$$

Step 1: Analyze the denominator

As $x \to 3^+$, the value of $x$ is slightly greater than 3, so $x - 3$ is a small positive number.

$$x - 3 \to 0^+ \Rightarrow \frac{1}{x - 3} \to +\infty$$

Multiplying by 5, we have: $$\frac{5}{x - 3} \to +\infty$$

Conclusion: $$\boxed{\lim_{x \to 3^+} \frac{5}{x - 3} = +\infty}$$