Evaluate the following limits: lim [ax^3+bx^2+cx+d/ex^3+fx^2+gx+h] (x ∈ ∞)

Question

 Evaluate the following limits:

\(\lim\limits_{x\longrightarrow∞}[\frac{ax^3+bx^2+cx+d}{ex^3+fx^2+gx+h}]\)

lim [ax³+bx²+cx+d/ex³+fx²+gx+h] (x ∈ ∞)

Answer 1

\(\lim\limits_{x\longrightarrow∞}[\frac{ax^3+bx^2+cx+d}{ex^3+fx^2+gx+h}]\)

= a/e