Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1+x^2+9*x)/(-5+2*x+7*x^2)
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Limit of ((5+x^2-6*x)/(5+x^2-5*x))^(2+3*x)
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Limit of (2+x^2+3*x)/(-4+x^2)
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Limit of (-8+x^2+2*x)/(-2+x)
- Derivative of:
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acos(1/x)
- Graphing y =:
- acos(1/x)
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Identical expressions
- acos(one /x)
- arc co sinus of e of ine of (1 divide by x)
- arc co sinus of e of ine of (one divide by x)
- acos1/x
- acos(1 divide by x)
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Similar expressions
- arccos(1/x)
Limit of the function acos(1/x)
The solution
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/ 1\ lim acos|1*-| x->-oo \ x/
$$\lim_{x \to -\infty} \operatorname{acos}{\left(1 \cdot \frac{1}{x} \right)}$$
Limit(acos(1/x), x, -oo)
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
$$\lim_{x \to -\infty} \operatorname{acos}{\left(1 \cdot \frac{1}{x} \right)} = \frac{\pi}{2}$$
$$\lim_{x \to \infty} \operatorname{acos}{\left(1 \cdot \frac{1}{x} \right)} = \frac{\pi}{2}$$
More at x→oo
$$\lim_{x \to 0^-} \operatorname{acos}{\left(1 \cdot \frac{1}{x} \right)} = - \infty i$$
More at x→0 from the left
$$\lim_{x \to 0^+} \operatorname{acos}{\left(1 \cdot \frac{1}{x} \right)} = \infty i$$
More at x→0 from the right
$$\lim_{x \to 1^-} \operatorname{acos}{\left(1 \cdot \frac{1}{x} \right)} = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+} \operatorname{acos}{\left(1 \cdot \frac{1}{x} \right)} = 0$$
More at x→1 from the right
$$\lim_{x \to \infty} \operatorname{acos}{\left(1 \cdot \frac{1}{x} \right)} = \frac{\pi}{2}$$
More at x→oo
$$\lim_{x \to 0^-} \operatorname{acos}{\left(1 \cdot \frac{1}{x} \right)} = - \infty i$$
More at x→0 from the left
$$\lim_{x \to 0^+} \operatorname{acos}{\left(1 \cdot \frac{1}{x} \right)} = \infty i$$
More at x→0 from the right
$$\lim_{x \to 1^-} \operatorname{acos}{\left(1 \cdot \frac{1}{x} \right)} = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+} \operatorname{acos}{\left(1 \cdot \frac{1}{x} \right)} = 0$$
More at x→1 from the right
The graph