Download
1 / 6
60 likes | 73 Views
Learn about vertical asymptotes when the limit approaches ∞ or -∞ from right or left. Discover how to handle discontinuities and find vertical asymptotes at x=c when g(x)=0. Explore limit properties and one-sided limits through examples.
E N D
Analyze: If the limit approaches ∞ or -∞ from right or left as x approaches c, then there is a vertical asymptote at x=c
Vertical Asymptotes Given If possible, remove any discontinuity. Then, if, as x approaches c, g(x) = 0; then h(x) has a vertical asymptote at x = c Example
Limit Properties • ∞ + or – a number (L) is still ∞ • ∞ ● L (positive) is +∞ and ∞ ● L (negative) is -∞ • L / ∞ is 0
One-Sided Limits Example Example
