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cos(3*x)/x
Limit of the function/ cos(3*x)/x

Limit of the function cos(3*x)/x

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     /cos(3*x)\
 lim |--------|
x->oo\   x    /
$$\lim_{x \to \infty}\left(\frac{\cos{\left(3 x \right)}}{x}\right)$$ 
Limit(cos(3*x)/x, x, oo, dir='-')
Lopital's rule
There is no sense to apply Lopital's rule to this function since there is no indeterminateness of 0/0 or oo/oo type
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Rapid solution [src] 
0
$$0$$
Expand and simplify
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty}\left(\frac{\cos{\left(3 x \right)}}{x}\right) = 0$$
$$\lim_{x \to 0^-}\left(\frac{\cos{\left(3 x \right)}}{x}\right) = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{\cos{\left(3 x \right)}}{x}\right) = \infty$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{\cos{\left(3 x \right)}}{x}\right) = \cos{\left(3 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{\cos{\left(3 x \right)}}{x}\right) = \cos{\left(3 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{\cos{\left(3 x \right)}}{x}\right) = 0$$
More at x→-oo
The graph
Limit of the function cos(3*x)/x
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