Vertical Asymptotes in Terms of Limits
Read this topicExplanations 3
- A vertical asymptote is when a function goes up so quickly, it's almost as if it is vertical. (Exponential is not vertical, just for clarification). Consider the graph of y=1xy=…
By Vincent Huang, Freya Edholm, Catherine Yeo, Victor Wang
- Problems 1-6 on the following worksheet are good practice for the skill you just learned: http://www.dsisd.txed.net/DocumentCenter/View/59360
By Freya Edholm
- (Video) Finding Vertical Asymptotes of Rational Functions by PatrickJMT Here's a video by patrickJMT showing you how to find the asymptote of a rational function.
By Alex Federspiel
Problems 6
- Find the vertical asymptotes of 2x−32x2−11x+12\dfrac{2x-3}{2x^2-11x+12}2x2−11x+122x−3
- Evaluate limx→4+2x−32x2−11x+12\lim_{x\to4^+}{\dfrac{2x-3}{2x^2-11x+12}}x→4+lim2x2−11x+122x−3
- Evaluate limx→42x−32x2−11x+12\lim_{x\to4}{\dfrac{2x-3}{2x^2-11x+12}}x→4lim2x2−11x+122x−3
- Find the vertical asymptotes of 3x+89x2−48x+64\dfrac{3x+8}{9x^2-48x+64}9x2−48x+643x+8
- Evaluate limx→83+3x+89x2−48x+64\lim_{x\to\frac83^+}{\dfrac{3x+8}{9x^2-48x+64}}x→38+lim9x2−48x+643x+8
- Evaluate limx→833x+89x2−48x+64\lim_{x\to\frac83}{\dfrac{3x+8}{9x^2-48x+64}}x→38lim9x2−48x+643x+8