Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1-4*x)^(1/x)
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Limit of (-16+x^2+6*x)/(-2-5*x+3*x^2)
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Limit of (1+x)^(2/3)-(-1+x)^(2/3)
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Limit of 1/3+x/3
- Derivative of:
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x^asin(x)
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Identical expressions
- x^asin(x)
- x to the power of arc sinus of e of (x)
- xasin(x)
- xasinx
- x^asinx
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Similar expressions
- x^arcsin(x)
- x^arcsinx
Limit of the function x^asin(x)
The solution
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[src]
asin(x) lim x x->oo
$$\lim_{x \to \infty} x^{\operatorname{asin}{\left(x \right)}}$$
Limit(x^asin(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
$$\lim_{x \to \infty} x^{\operatorname{asin}{\left(x \right)}}$$
$$\lim_{x \to 0^-} x^{\operatorname{asin}{\left(x \right)}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} x^{\operatorname{asin}{\left(x \right)}} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} x^{\operatorname{asin}{\left(x \right)}} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} x^{\operatorname{asin}{\left(x \right)}} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} x^{\operatorname{asin}{\left(x \right)}}$$
More at x→-oo
$$\lim_{x \to 0^-} x^{\operatorname{asin}{\left(x \right)}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} x^{\operatorname{asin}{\left(x \right)}} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} x^{\operatorname{asin}{\left(x \right)}} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} x^{\operatorname{asin}{\left(x \right)}} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} x^{\operatorname{asin}{\left(x \right)}}$$
More at x→-oo
Rapid solution
[src]
asin(x) lim x x->oo
$$\lim_{x \to \infty} x^{\operatorname{asin}{\left(x \right)}}$$
The graph