# Math Help - asymptotes

1. ## asymptotes

The horizontal asymptotes of the curve
are given by

where .

2. Originally Posted by sjara
The horizontal asymptotes of the curve
are given by

where .
When the magnitude of $x$ is large, $\frac{15x}{(x^4+1)^{1/4}}\sim\frac{15x}{(x^4)^{1/4}}$

So what are the asymptotes?

3. still no idea

4. Originally Posted by redsoxfan325
When the magnitude of $x$ is large, $\frac{15x}{(x^4+1)^{1/4}}\sim\frac{15x}{(x^4)^{1/4}}$

So what are the asymptotes?
$(x^4)^{1/4}=|x|$ so you need to find the asymptotes of $\frac{15x}{|x|}$.

Take two cases: (1) $x$ is positive and (2) $x$ is negative. What are the asymptotes in each of these cases?

5. ahhh i see..

+/- 15

i didnt fully understand why you took out the '+1' in the beginning until just now

6. Yup.