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## Homework Statement

I would like to find an asymptote of the following function:

f(x) = [itex]\sqrt{\frac{x^3}{x+1}} + x[/itex] as x goes to negative infinity.

**2. The attempt at a solution**

I calculated the limit of the function as x goes to -∞ which is ∞.

However, this is not enough for me. I would like to be as precise as possible when drawing a graph of the function as x goes to -∞. This is the reason why do I want to calculate the asymptote of the function as x goes to -∞