Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Solve without using l'Hôpital
- Solve using L'Hôpital's rule
- Solve using limit properties
- Solve using direct substitution
- Solve the limit using factorization
- Solve the limit using rationalization
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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Expand the expression $\left(x+3\right)^2$ using the square of a binomial: $(a+b)^2=a^2+2ab+b^2$
Learn how to solve limits to infinity problems step by step online.
$\lim_{x\to\infty }\left(\frac{x^2+x}{x^{2}+6x+9}\right)$
Learn how to solve limits to infinity problems step by step online. Find the limit of (x^2+x)/((x+3)^2) as x approaches infinity. Expand the expression \left(x+3\right)^2 using the square of a binomial: (a+b)^2=a^2+2ab+b^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 .
