Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-1+x)/(x+x^2)
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Limit of log(-5+x)/log(e^x-e^5)
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Limit of (-exp(-x)-2*x+exp(x))/(x-sin(x))
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Limit of (e^(4*x)-e^(3*x))/(-sin(3*x)+sin(4*x))
- Integral of d{x}:
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x^(-3/2)
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Identical expressions
- x^(- three / two)
- x to the power of ( minus 3 divide by 2)
- x to the power of ( minus three divide by two)
- x(-3/2)
- x-3/2
- x^-3/2
- x^(-3 divide by 2)
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Similar expressions
- x^(3/2)
Limit of the function x^(-3/2)
The solution
You have entered
[src]
1
lim ----
x->0+ 3/2
x
$$\lim_{x \to 0^+} \frac{1}{x^{\frac{3}{2}}}$$
Limit(x^(-3/2), x, 0)
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
$$\lim_{x \to 0^-} \frac{1}{x^{\frac{3}{2}}} = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{x^{\frac{3}{2}}} = \infty$$
$$\lim_{x \to \infty} \frac{1}{x^{\frac{3}{2}}} = 0$$
More at x→oo
$$\lim_{x \to 1^-} \frac{1}{x^{\frac{3}{2}}} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{x^{\frac{3}{2}}} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{x^{\frac{3}{2}}} = 0$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{x^{\frac{3}{2}}} = \infty$$
$$\lim_{x \to \infty} \frac{1}{x^{\frac{3}{2}}} = 0$$
More at x→oo
$$\lim_{x \to 1^-} \frac{1}{x^{\frac{3}{2}}} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{x^{\frac{3}{2}}} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{x^{\frac{3}{2}}} = 0$$
More at x→-oo
One‐sided limits
[src]
1
lim ----
x->0+ 3/2
x
$$\lim_{x \to 0^+} \frac{1}{x^{\frac{3}{2}}}$$
oo
$$\infty$$
= 1855.51906484412
1
lim ----
x->0- 3/2
x
$$\lim_{x \to 0^-} \frac{1}{x^{\frac{3}{2}}}$$
oo*I
$$\infty i$$
= (0.0 + 1855.51906484412j)
= (0.0 + 1855.51906484412j)
The graph