Inclined asymptote can be found by calculating the limit of x^sin(x), divided by x at x->+oo and x ->-oo
x→−∞lim(xxsin(x))=(−∞)⟨−2,0⟩Let's take the limitso,
inclined asymptote equation on the left:
y=(−∞)⟨−2,0⟩xx→∞lim(xxsin(x))=∞⟨−2,0⟩Let's take the limitso,
inclined asymptote equation on the right:
y=∞⟨−2,0⟩x