Learn how to solve limits by direct substitution problems step by step online. Find the limit of (x^2+3x+14)/(x^3+2x^2+15) 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^3}{x^3} by x^3. Simplify the fraction by x.

Find the limit of (x^2+3x+14)/(x^3+2x^2+15) as x approaches infinity