MediumCurve sketching

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.4 Graphs, #27 · Calculus · Curve sketching

For … to have the asymptote …, the degrees of … and…

For $P (x) / Q (x)$ to have the asymptote $y = 0$ , the degrees of $P$ and $Q$ must be ____. The graph of $x^{4} / (1 + x^{2})$ has what asymptotes?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.4 Graphs, #27

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