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cot(x)*tan(x)
Limit of the function/ cot(x)*tan(x)

Limit of the function cot(x)*tan(x)

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You have entered [src] 
 lim (cot(x)*tan(x))
x->oo
lim⁡x→∞(tan⁡(x)cot⁡(x))\lim_{x \to \infty}\left(\tan{\left(x \right)} \cot{\left(x \right)}\right) 
Limit(cot(x)*tan(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
The graph
-0.010-0.008-0.006-0.004-0.0020.0100.0000.0020.0040.0060.0080.00
Plot the graph
Rapid solution [src] 
 lim (cot(x)*tan(x))
x->oo
lim⁡x→∞(tan⁡(x)cot⁡(x))\lim_{x \to \infty}\left(\tan{\left(x \right)} \cot{\left(x \right)}\right)
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→∞(tan⁡(x)cot⁡(x))\lim_{x \to \infty}\left(\tan{\left(x \right)} \cot{\left(x \right)}\right)
lim⁡x→0−(tan⁡(x)cot⁡(x))=1\lim_{x \to 0^-}\left(\tan{\left(x \right)} \cot{\left(x \right)}\right) = 1
More at x→0 from the left
lim⁡x→0+(tan⁡(x)cot⁡(x))=1\lim_{x \to 0^+}\left(\tan{\left(x \right)} \cot{\left(x \right)}\right) = 1
More at x→0 from the right
lim⁡x→1−(tan⁡(x)cot⁡(x))=1\lim_{x \to 1^-}\left(\tan{\left(x \right)} \cot{\left(x \right)}\right) = 1
More at x→1 from the left
lim⁡x→1+(tan⁡(x)cot⁡(x))=1\lim_{x \to 1^+}\left(\tan{\left(x \right)} \cot{\left(x \right)}\right) = 1
More at x→1 from the right
lim⁡x→−∞(tan⁡(x)cot⁡(x))\lim_{x \to -\infty}\left(\tan{\left(x \right)} \cot{\left(x \right)}\right)
More at x→-oo
The graph
Limit of the function cot(x)*tan(x)
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