Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-12+x+x^2)/(-9+x^2)
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Limit of (2+x^2+3*x)/(3+x^2+4*x)
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Limit of -e^(-x)
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Limit of atan(x/2)
- Derivative of:
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atan(x/2)
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Identical expressions
- atan(x/ two)
- arc tangent of gent of (x divide by 2)
- arc tangent of gent of (x divide by two)
- atanx/2
- atan(x divide by 2)
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Similar expressions
- x*(pi-2*atan(x))/2
- arctan(x/2)
Limit of the function atan(x/2)
The solution
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/x\ lim atan|-| x->oo \2/
$$\lim_{x \to \infty} \operatorname{atan}{\left(\frac{x}{2} \right)}$$
Limit(atan(x/2), 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
$$\lim_{x \to \infty} \operatorname{atan}{\left(\frac{x}{2} \right)} = \frac{\pi}{2}$$
$$\lim_{x \to 0^-} \operatorname{atan}{\left(\frac{x}{2} \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \operatorname{atan}{\left(\frac{x}{2} \right)} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \operatorname{atan}{\left(\frac{x}{2} \right)} = \operatorname{atan}{\left(\frac{1}{2} \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \operatorname{atan}{\left(\frac{x}{2} \right)} = \operatorname{atan}{\left(\frac{1}{2} \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \operatorname{atan}{\left(\frac{x}{2} \right)} = - \frac{\pi}{2}$$
More at x→-oo
$$\lim_{x \to 0^-} \operatorname{atan}{\left(\frac{x}{2} \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \operatorname{atan}{\left(\frac{x}{2} \right)} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \operatorname{atan}{\left(\frac{x}{2} \right)} = \operatorname{atan}{\left(\frac{1}{2} \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \operatorname{atan}{\left(\frac{x}{2} \right)} = \operatorname{atan}{\left(\frac{1}{2} \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \operatorname{atan}{\left(\frac{x}{2} \right)} = - \frac{\pi}{2}$$
More at x→-oo
The graph