Question

If a function admits horizontal asymptote at `-oo` but at `+ oo` does not admit,she can admit oblique asymptote to `+ oo`?

Answer 1

Yes

Explanation:

Consider the function:

`f(x) = 1/(1+x^2)+(x+abs(x))/2`

This is continuous on the whole of `RR`, with horizontal asymptote `y=0` and oblique asymptote `y=x`

graph{1/(1+x^2)+(x+abs(x))/2 [-10, 10, -5, 5]}