Infinite limits – vertical asymptotes - Limits

Infinite limits – vertical asymptotes

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.

Lessons

Notes:
i)
limxaf(x)={\;}\lim_{x \to {a^ - }} f\left( x \right) =\infty
ii)
limxa+f(x)=\lim_{x \to {a^ + }} f\left( x \right) =\infty
iii)
limxaf(x)=,\lim_{x \to {a^ - }} f\left( x \right) =,- \infty
iv)
limxa+f(x)=,\lim_{x \to {a^ + }} f\left( x \right) =,- \infty
  • 1.


    For the function ff whose graph is shown, state the following:
  • 2.
    Find:
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Infinite limits – vertical asymptotes

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