Learn how to solve integrals of rational functions problems step by step online. Find the limit of (3x^4+x^2+1)/(5^(1/2)x^4+3) 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 .

Find the limit of (3x^4+x^2+1)/(5^(1/2)x^4+3) as x approaches -infinity