Math  /  Calculus

QuestionFind all horizontal asymptotes of the function f(x)=1ex1+2ex f(x) = \frac{1-e^{x}}{1+2 e^{x}} .

Studdy Solution
Based on the limits calculated, the horizontal asymptotes of the function are:
As x x \to \infty , the horizontal asymptote is y=12 y = -\frac{1}{2} .
As x x \to -\infty , the horizontal asymptote is y=1 y = 1 .
The horizontal asymptotes of the function are y=12 y = -\frac{1}{2} and y=1 y = 1 .

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