Solving: $\lim_{x\to\infty }\left(\frac{5x^2+2x-2x^3}{x\cdot x^2+x^2-6}\right)$
Exercise
$\lim_{x\to\infty}\left(\frac{5x^2+2x-2x^3}{ax^2+x^2-6}\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Find the limit of (5x^2+2x-2x^3)/(xx^2+x^2+-6) as x approaches infinity. When multiplying exponents with same base you can add the exponents: x\cdot x^2. 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 .
Find the limit of (5x^2+2x-2x^3)/(xx^2+x^2+-6) as x approaches infinity
Final answer to the exercise
$-2$