How do I find the asymptotes for f(x)=(x^5)-15x^3? Also, for f(x)=(x^2)(e^(-x)) Do I find the limits of x approaching +/- infinity?
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Originally Posted by Jiyongie How do I find the asymptotes for f(x)=(x^5)-15x^3? Also, for f(x)=(x^2)(e^(-x)) Do I find the limits of x approaching +/- infinity? 1. The 1st function doesn't have any asymptotes. 2. Since $\displaystyle \lim_{x \to +\infty}\left(e^{-x}\right) = 0$ you'll get the asymptote y = 0 if x approaches $\displaystyle +\infty$. There doesn't exist an asymptote if x approaches $\displaystyle -\infty$.
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