Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of x^(4/x)
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Limit of (-6+x^2-x)/(-4+x^2)
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Limit of (-6+x^2-x)/(-21+x+2*x^2)
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Limit of e^(3-x)*(-2+x)
- Derivative of:
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x^(1/4)
- Integral of d{x}:
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x^(1/4)
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Identical expressions
- x^(one / four)
- x to the power of (1 divide by 4)
- x to the power of (one divide by four)
- x(1/4)
- x1/4
- x^1/4
- x^(1 divide by 4)
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Similar expressions
- (5-2*x)^(1/(4-x^2))
Limit of the function x^(1/4)
The solution
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4 ___ lim \/ x x->oo
$$\lim_{x \to \infty} \sqrt[4]{x}$$
Limit(x^(1/4), 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
$$\lim_{x \to \infty} \sqrt[4]{x} = \infty$$
$$\lim_{x \to 0^-} \sqrt[4]{x} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt[4]{x} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt[4]{x} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt[4]{x} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt[4]{x} = \infty \sqrt[4]{-1}$$
More at x→-oo
$$\lim_{x \to 0^-} \sqrt[4]{x} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt[4]{x} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt[4]{x} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt[4]{x} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt[4]{x} = \infty \sqrt[4]{-1}$$
More at x→-oo
The graph