finding oblique asymptotes are usually done using long division or synthetic division. otherwise, the problem has to be really nice where you "see" it

...i am confused. how is this a problem on finding the oblique asymptote? it's givenAn example question would be y = x/4 + 1/x where the oblique asymptote is y=x/4

if you were given y = x/4 + 1/x to find the oblique asymptote, you could use long division. or you just take the polynomial part, which in this case is x/4

we know we can take the polynomial part because, had we done long division, the quotient would be a polynomial and the remainder would not