Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of -1/2+x/2
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Limit of -x+(1+x)^2/(-2+x)
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Limit of x*tan(5*x)/2
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Limit of (-log(1+2*x)+tan(2*x))/x^2
- Derivative of:
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1/atan(x)
- Graphing y =:
- 1/atan(x)
- Integral of d{x}:
- 1/atan(x)
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Identical expressions
- one /atan(x)
- 1 divide by arc tangent of gent of (x)
- one divide by arc tangent of gent of (x)
- 1/atanx
- 1 divide by atan(x)
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Similar expressions
- (atan(x)^2+cos(x))^(1/atan(x^2))
- 1/atan(x/(2-x))
- 1/arctan(x)
- 1/arctanx
Limit of the function 1/atan(x)
The solution
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1 lim ------- x->0+atan(x)
$$\lim_{x \to 0^+} \frac{1}{\operatorname{atan}{\left(x \right)}}$$
Limit(1/atan(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
One‐sided limits
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1 lim ------- x->0+atan(x)
$$\lim_{x \to 0^+} \frac{1}{\operatorname{atan}{\left(x \right)}}$$
oo
$$\infty$$
= 151.002207479702
1 lim ------- x->0-atan(x)
$$\lim_{x \to 0^-} \frac{1}{\operatorname{atan}{\left(x \right)}}$$
-oo
$$-\infty$$
= -151.002207479702
= -151.002207479702
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} \frac{1}{\operatorname{atan}{\left(x \right)}} = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{\operatorname{atan}{\left(x \right)}} = \infty$$
$$\lim_{x \to \infty} \frac{1}{\operatorname{atan}{\left(x \right)}} = \frac{2}{\pi}$$
More at x→oo
$$\lim_{x \to 1^-} \frac{1}{\operatorname{atan}{\left(x \right)}} = \frac{4}{\pi}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{\operatorname{atan}{\left(x \right)}} = \frac{4}{\pi}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{\operatorname{atan}{\left(x \right)}} = - \frac{2}{\pi}$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{\operatorname{atan}{\left(x \right)}} = \infty$$
$$\lim_{x \to \infty} \frac{1}{\operatorname{atan}{\left(x \right)}} = \frac{2}{\pi}$$
More at x→oo
$$\lim_{x \to 1^-} \frac{1}{\operatorname{atan}{\left(x \right)}} = \frac{4}{\pi}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{\operatorname{atan}{\left(x \right)}} = \frac{4}{\pi}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{\operatorname{atan}{\left(x \right)}} = - \frac{2}{\pi}$$
More at x→-oo
The graph