Infinite limits - vertical asymptotes

Topic Notes

Limits don't always necessarily give numerical solutions. What happens if we take the limit of a function near its vertical asymptotes? We will answer this question in this section, as well as exploring the idea of infinite limits using one-sided limits and two-sided limits.

i) ${\;}\lim_{x \to {a^ - }} f\left( x \right) =\infty$	ii) $\lim_{x \to {a^ + }} f\left( x \right) =\infty$	iii) $\lim_{x \to {a^ - }} f\left( x \right) =,- \infty$	iv) $\lim_{x \to {a^ + }} f\left( x \right) =,- \infty$