Find the limit of $\frac{4x^4+x^2+5x}{\sqrt{64x^8+x^6}}$ as $x$ approaches $- \infty $

Learn how to solve problems step by step online. Find the limit of (4x^4+x^25x)/((64x^8+x^6)^(1/2)) 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 . Rewrite the fraction, in such a way that both numerator and denominator are inside the exponent or radical. Separate the terms of both fractions. Simplify the fraction \frac{4x^4}{-x^{4}} by x^4.