Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-1+e^(2*x))/(3*x)
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Limit of (-1+3*x)/(5+x^2+7*x)
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Limit of 1+13*x/5
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Limit of (7+x+x^2)/(-1+e^x)
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Identical expressions
- x+ two *acot(x)
- x plus 2 multiply by arcco tangent of gent of (x)
- x plus two multiply by arcco tangent of gent of (x)
- x+2acot(x)
- x+2acotx
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Similar expressions
- x-2*acot(x)
- x+2*arccot(x)
- x+2*arccotx
Limit of the function x+2*acot(x)
The solution
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lim (x + 2*acot(x)) x->oo
$$\lim_{x \to \infty}\left(x + 2 \operatorname{acot}{\left(x \right)}\right)$$
Limit(x + 2*acot(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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty}\left(x + 2 \operatorname{acot}{\left(x \right)}\right) = \infty$$
$$\lim_{x \to 0^-}\left(x + 2 \operatorname{acot}{\left(x \right)}\right) = - \pi$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x + 2 \operatorname{acot}{\left(x \right)}\right) = \pi$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x + 2 \operatorname{acot}{\left(x \right)}\right) = 1 + \frac{\pi}{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x + 2 \operatorname{acot}{\left(x \right)}\right) = 1 + \frac{\pi}{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x + 2 \operatorname{acot}{\left(x \right)}\right) = -\infty$$
More at x→-oo
$$\lim_{x \to 0^-}\left(x + 2 \operatorname{acot}{\left(x \right)}\right) = - \pi$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x + 2 \operatorname{acot}{\left(x \right)}\right) = \pi$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x + 2 \operatorname{acot}{\left(x \right)}\right) = 1 + \frac{\pi}{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x + 2 \operatorname{acot}{\left(x \right)}\right) = 1 + \frac{\pi}{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x + 2 \operatorname{acot}{\left(x \right)}\right) = -\infty$$
More at x→-oo
The graph