Chapter 1: Limits
Section 1.5: Limits at Infinity and Infinite Limits
Graph the function fx=arctanx, and determine all its asymptotes.
Figure 1.5.8(a) suggests that there are only horizontal asymptotes for the graph of arctanx. In fact, the limits at ±∞ support this observation.
limx→−∞arctanx = −12⁢π
limx→∞arctanx = 12⁢π
Figure 1.5.8(a) Graph of arctanx (black) and its horizontal asymptotes (red)
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