Learn how to solve limits by direct substitution problems step by step online. Find the limit of (4x^4)/(x^5+1) as x approaches infinity. As it's an indeterminate limit of type \frac{\infty}{\infty}, divide both numerator and denominator by the term of the denominator that tends more quickly to infinity (the term that, evaluated at a large value, approaches infinity faster). In this case, that term is . Separate the terms of both fractions. Simplify the fraction \frac{x^5}{x^5} by x^5. Simplify the fraction by x.

Find the limit of (4x^4)/(x^5+1) as x approaches infinity