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Find an equation of the slant asymptote. Do not sketch the curve.
$ y = \dfrac{x^2 + 1}{x + 1} $
see solution
Calculus 1 / AB
Calculus 2 / BC
Chapter 4
Applications of Differentiation
Section 5
Summary of Curve Sketching
Derivatives
Differentiation
Volume
Missouri State University
University of Michigan - Ann Arbor
Boston College
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All right. So we're gonna do polynomial division to find our slant as in tow. So here, um X into X Squared X. And now we're gonna multiply X by each term. But make sure that we switch the sign so that the first term cancels out. So minus X squared minus eggs. Okay. And we're left with minus X plus one. And now because this canceled up, and now we're going to see X into negative X, and that's minus one. So now multiply a negative one by each term. But then switch the sign when we're down here. So that's plus X and plus one. So we're left with remainder two. But the important part is the quotient. So why equals X minus one is our slant as into
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