The horizontal asymptotes of the curve are given by where .
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Originally Posted by sjara The horizontal asymptotes of the curve are given by where . When the magnitude of $\displaystyle x$ is large, $\displaystyle \frac{15x}{(x^4+1)^{1/4}}\sim\frac{15x}{(x^4)^{1/4}}$ So what are the asymptotes?
still no idea
Originally Posted by redsoxfan325 When the magnitude of $\displaystyle x$ is large, $\displaystyle \frac{15x}{(x^4+1)^{1/4}}\sim\frac{15x}{(x^4)^{1/4}}$ So what are the asymptotes? $\displaystyle (x^4)^{1/4}=|x|$ so you need to find the asymptotes of $\displaystyle \frac{15x}{|x|}$. Take two cases: (1) $\displaystyle x$ is positive and (2) $\displaystyle x$ is negative. What are the asymptotes in each of these cases?
ahhh i see.. +/- 15 i didnt fully understand why you took out the '+1' in the beginning until just now
Yup.
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