Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of ((-2+x)/(1+x))^(-3+2*x)
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Limit of (-2*asin(x)+asin(2*x))/x^3
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Limit of (1/x)^(1/x)
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Limit of (-2-3*x+2*x^2)/(2+x^2-3*x)
- Derivative of:
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x^(4/5)
- Integral of d{x}:
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x^(4/5)
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Identical expressions
- x^(four / five)
- x to the power of (4 divide by 5)
- x to the power of (four divide by five)
- x(4/5)
- x4/5
- x^4/5
- x^(4 divide by 5)
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Similar expressions
- (1+3*x^4)/(5-4*x^2)
Limit of the function x^(4/5)
The solution
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4/5 lim x x->oo
$$\lim_{x \to \infty} x^{\frac{4}{5}}$$
Limit(x^(4/5), 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
$$\lim_{x \to \infty} x^{\frac{4}{5}} = \infty$$
$$\lim_{x \to 0^-} x^{\frac{4}{5}} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} x^{\frac{4}{5}} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} x^{\frac{4}{5}} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} x^{\frac{4}{5}} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} x^{\frac{4}{5}} = \infty \left(-1\right)^{\frac{4}{5}}$$
More at x→-oo
$$\lim_{x \to 0^-} x^{\frac{4}{5}} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} x^{\frac{4}{5}} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} x^{\frac{4}{5}} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} x^{\frac{4}{5}} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} x^{\frac{4}{5}} = \infty \left(-1\right)^{\frac{4}{5}}$$
More at x→-oo
The graph