What is the limit of $(sin x) / (x^2 + 3x)$ as x goes to infinity?

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Answer 1 · 2015-10-15T11:50:43

$lim_(xrarroo) (sin(x))/(x^2+3x) = 0$

$abs( sin(x)) <= 1, AA x$

$lim_(xrarroo) (x^2+3x) rarr oo$

The limit of any value less than or equal to a constant
divided by a value that approaches $oo$ is $0$

What is the limit of (sin x) / (x^2 + 3x) (sin x) / (x^2 + 3x) as x goes to infinity?