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cos(x)/x^2
Limit of the function/ cos(x)/x^2

Limit of the function cos(x)/x^2

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You have entered [src] 
     /cos(x)\
 lim |------|
x->oo|   2  |
     \  x   /
lim⁡x→∞(cos⁡(x)x2)\lim_{x \to \infty}\left(\frac{\cos{\left(x \right)}}{x^{2}}\right) 
Limit(cos(x)/x^2, 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
The graph
02468-8-6-4-2-1010-100100
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Rapid solution [src] 
0
00
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→∞(cos⁡(x)x2)=0\lim_{x \to \infty}\left(\frac{\cos{\left(x \right)}}{x^{2}}\right) = 0
lim⁡x→0−(cos⁡(x)x2)=∞\lim_{x \to 0^-}\left(\frac{\cos{\left(x \right)}}{x^{2}}\right) = \infty
More at x→0 from the left
lim⁡x→0+(cos⁡(x)x2)=∞\lim_{x \to 0^+}\left(\frac{\cos{\left(x \right)}}{x^{2}}\right) = \infty
More at x→0 from the right
lim⁡x→1−(cos⁡(x)x2)=cos⁡(1)\lim_{x \to 1^-}\left(\frac{\cos{\left(x \right)}}{x^{2}}\right) = \cos{\left(1 \right)}
More at x→1 from the left
lim⁡x→1+(cos⁡(x)x2)=cos⁡(1)\lim_{x \to 1^+}\left(\frac{\cos{\left(x \right)}}{x^{2}}\right) = \cos{\left(1 \right)}
More at x→1 from the right
lim⁡x→−∞(cos⁡(x)x2)=0\lim_{x \to -\infty}\left(\frac{\cos{\left(x \right)}}{x^{2}}\right) = 0
More at x→-oo
The graph
Limit of the function cos(x)/x^2
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