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oblique asymptote
To find [oblique asymptote|oblique asymptote], perform long division of polynomials to write f(x) = x + 1 + 1/(x-1).
Definition
To find oblique asymptote, perform long division of polynomials to write f(x) = x + 1 + 1/(x-1). Since f(x) approaches the line y = x + 1 as x approaches positive infinity, this defines the oblique asymptote.
Mechanism
oblique asymptote To find the oblique asymptote, perform long division of polynomials to write f(x) = x + 1 + 1/(x-1). As x approaches positive infinity, f(x) approaches the line y = x + 1.
Examples
oblique asymptote In this case, we call g(x) an oblique asymptote.