Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of 7^(1/(-3+x))
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Limit of (3-3*x^2+4*x^4+6*x^3)/(2*x^2+7*x^4)
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Limit of ((5+4*x)/(-1+5*x))^(1+3*x)
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Limit of (-6-x^2-3*x+4*x^3)/(3-x^2+2*x^3)
- Graphing y =:
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cot(x)*tan(x)
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Identical expressions
- cot(x)*tan(x)
- cotangent of (x) multiply by tangent of (x)
- cot(x)tan(x)
- cotxtanx
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Similar expressions
- (1+cot(x))^tan(x)
- log(cot(x))*tan(x)
- log(cot(x)^tan(x))
- log(log(cot(x)))*tan(x)
- cot(x)^tan(x)
Limit of the function cot(x)*tan(x)
The solution
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lim (cot(x)*tan(x)) x->oo
$$\lim_{x \to \infty}\left(\tan{\left(x \right)} \cot{\left(x \right)}\right)$$
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
Rapid solution
[src]
lim (cot(x)*tan(x)) x->oo
$$\lim_{x \to \infty}\left(\tan{\left(x \right)} \cot{\left(x \right)}\right)$$
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty}\left(\tan{\left(x \right)} \cot{\left(x \right)}\right)$$
$$\lim_{x \to 0^-}\left(\tan{\left(x \right)} \cot{\left(x \right)}\right) = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\tan{\left(x \right)} \cot{\left(x \right)}\right) = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\tan{\left(x \right)} \cot{\left(x \right)}\right) = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\tan{\left(x \right)} \cot{\left(x \right)}\right) = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\tan{\left(x \right)} \cot{\left(x \right)}\right)$$
More at x→-oo
$$\lim_{x \to 0^-}\left(\tan{\left(x \right)} \cot{\left(x \right)}\right) = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\tan{\left(x \right)} \cot{\left(x \right)}\right) = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\tan{\left(x \right)} \cot{\left(x \right)}\right) = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\tan{\left(x \right)} \cot{\left(x \right)}\right) = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\tan{\left(x \right)} \cot{\left(x \right)}\right)$$
More at x→-oo
The graph