Infinity is a cool, confusing, complicated idea. In many ways, capturing what is meant by both the infinite (very large) and infinitesimal (very small) is what calculus is all about.
Today we talked about using ∞ and -∞ to describe when limits do not exist. Often you can but sometimes you can't. Any time direct substitution leads to 1/0, infinity is in play. The hardest part for students is determining whether the expression will be positive or negative.
Notes from today are below.
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