Exercise
$\lim_{x\to-\infty\:}\left(\frac{x^2+x}{\left(x^2+3\right)^2}\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Find the limit of (x^2+x)/((x^2+3)^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 . Separate the terms of both fractions. Simplify the fraction by x. Simplify the fraction by x.
Find the limit of (x^2+x)/((x^2+3)^2) as x approaches -infinity
Final answer to the exercise
$\infty $