Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-2*x^2+4*x^3+5*x)/(3*x^2+7*x)
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Limit of (-cos(5*x)+cos(3*x))/x^2
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Limit of (-1+cos(7*x))/(-1+cos(3*x))
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Limit of (16+x^2+10*x)/(-6+x^2-x)
- Derivative of:
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acot(x)
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Identical expressions
- acot(x)
- arcco tangent of gent of (x)
- acotx
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Similar expressions
- arccot(x)
- arccotx
Limit of the function acot(x)
The solution
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[src]
lim acot(x) x->0+
$$\lim_{x \to 0^+} \operatorname{acot}{\left(x \right)}$$
Limit(acot(x), x, 0)
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
$$\lim_{x \to 0^-} \operatorname{acot}{\left(x \right)} = \frac{\pi}{2}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \operatorname{acot}{\left(x \right)} = \frac{\pi}{2}$$
$$\lim_{x \to \infty} \operatorname{acot}{\left(x \right)} = 0$$
More at x→oo
$$\lim_{x \to 1^-} \operatorname{acot}{\left(x \right)} = \frac{\pi}{4}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \operatorname{acot}{\left(x \right)} = \frac{\pi}{4}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \operatorname{acot}{\left(x \right)} = 0$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \operatorname{acot}{\left(x \right)} = \frac{\pi}{2}$$
$$\lim_{x \to \infty} \operatorname{acot}{\left(x \right)} = 0$$
More at x→oo
$$\lim_{x \to 1^-} \operatorname{acot}{\left(x \right)} = \frac{\pi}{4}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \operatorname{acot}{\left(x \right)} = \frac{\pi}{4}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \operatorname{acot}{\left(x \right)} = 0$$
More at x→-oo
One‐sided limits
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lim acot(x) x->0+
$$\lim_{x \to 0^+} \operatorname{acot}{\left(x \right)}$$
pi -- 2
$$\frac{\pi}{2}$$
= 1.5707963267949
lim acot(x) x->0-
$$\lim_{x \to 0^-} \operatorname{acot}{\left(x \right)}$$
-pi ---- 2
$$- \frac{\pi}{2}$$
= -1.5707963267949
= -1.5707963267949
The graph