Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of -2+x^3+6*x
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Limit of ((-2+x)/x)^(2*x)
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Limit of -6+x^2+5*x
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Limit of (2+x^2-3*x)/(4+x^2-5*x)
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Identical expressions
- x^(- three /(two *x))
- x to the power of ( minus 3 divide by (2 multiply by x))
- x to the power of ( minus three divide by (two multiply by x))
- x(-3/(2*x))
- x-3/2*x
- x^(-3/(2x))
- x(-3/(2x))
- x-3/2x
- x^-3/2x
- x^(-3 divide by (2*x))
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Similar expressions
- x^(3/(2*x))
Limit of the function x^(-3/(2*x))
The solution
You have entered
[src]
-3
---
2*x
lim x
x->oo
$$\lim_{x \to \infty} x^{- \frac{3}{2 x}}$$
Limit(x^(-3*1/(2*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
$$\lim_{x \to \infty} x^{- \frac{3}{2 x}} = 1$$
$$\lim_{x \to 0^-} x^{- \frac{3}{2 x}} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} x^{- \frac{3}{2 x}} = \infty$$
More at x→0 from the right
$$\lim_{x \to 1^-} x^{- \frac{3}{2 x}} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} x^{- \frac{3}{2 x}} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} x^{- \frac{3}{2 x}} = 1$$
More at x→-oo
$$\lim_{x \to 0^-} x^{- \frac{3}{2 x}} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} x^{- \frac{3}{2 x}} = \infty$$
More at x→0 from the right
$$\lim_{x \to 1^-} x^{- \frac{3}{2 x}} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} x^{- \frac{3}{2 x}} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} x^{- \frac{3}{2 x}} = 1$$
More at x→-oo
The graph