AMS 11A Chapter 10.2: 2016 09 28
16 Oct 2016
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In this example, f(x) is not defined when x = 5. Since the limit of a function has to be independent of the way x approaches a, From the right, + (cid:4666) (cid:4667) = 1. Since x is only defined when 3, so we can consider the limit when x approaches from the right. As x approaches 0, from both the left and the right, f(x) increases without bound. Therefore, we say that as x approaches 0, f(x) becomes positively infinite, which we express with: Since as x approaches 0 f(x) becomes infinite in opposite directions, we conclude that: Solve the equation with values of x close to but not equal to -1 x. Since as x approaches -1 from the right, the values of f(x) become very large, we conclude: As x approaches infinity (both positively and negatively) the values of f(x) get closer to 0. x f(x)
