Exercise
$\lim_{x\to\infty}\left(\frac{x-1}{x^2+6x+4}\right)$
Step-by-step Solution
Learn how to solve limits by direct substitution problems step by step online. Find the limit of (x-1)/(x^2+6x+4) 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 \frac{x^2}{x^2} by x^2. Simplify the fraction by x.
Find the limit of (x-1)/(x^2+6x+4) as x approaches infinity
Final answer to the exercise
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