Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1-3*x^2+2*x^3)/(x^3+2*x+4*x^2)
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Limit of (-4-7*x+2*x^2)/(4-13*x+3*x^2)
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Limit of 5+3*n
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Limit of (-12+x^2-4*x)/(48+x^2-14*x)
- Integral of d{x}:
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3/sqrt(x)
- Graphing y =:
- 3/sqrt(x)
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Identical expressions
- three /sqrt(x)
- 3 divide by square root of (x)
- three divide by square root of (x)
- 3/√(x)
- 3/sqrtx
- 3 divide by sqrt(x)
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Similar expressions
- (x-x^3)/sqrt(x+x^3)
- x^(2/3)/sqrt(x^2)
- x-3/(sqrt(x)-sqrt(3))
- (5+x^2+4*x^3)/sqrt(x+sqrt(x^2+16*x^12))
Limit of the function 3/sqrt(x)
The solution
You have entered
[src]
/ 3 \
lim |-----|
x->0+| ___|
\\/ x /
$$\lim_{x \to 0^+}\left(\frac{3}{\sqrt{x}}\right)$$
Limit(3/sqrt(x), 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
$$\lim_{x \to 0^-}\left(\frac{3}{\sqrt{x}}\right) = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{3}{\sqrt{x}}\right) = \infty$$
$$\lim_{x \to \infty}\left(\frac{3}{\sqrt{x}}\right) = 0$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{3}{\sqrt{x}}\right) = 3$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{3}{\sqrt{x}}\right) = 3$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{3}{\sqrt{x}}\right) = 0$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{3}{\sqrt{x}}\right) = \infty$$
$$\lim_{x \to \infty}\left(\frac{3}{\sqrt{x}}\right) = 0$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{3}{\sqrt{x}}\right) = 3$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{3}{\sqrt{x}}\right) = 3$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{3}{\sqrt{x}}\right) = 0$$
More at x→-oo
One‐sided limits
[src]
/ 3 \
lim |-----|
x->0+| ___|
\\/ x /
$$\lim_{x \to 0^+}\left(\frac{3}{\sqrt{x}}\right)$$
oo
$$\infty$$
= 36.8646171823335
/ 3 \
lim |-----|
x->0-| ___|
\\/ x /
$$\lim_{x \to 0^-}\left(\frac{3}{\sqrt{x}}\right)$$
-oo*I
$$- \infty i$$
= (0.0 - 36.8646171823335j)
= (0.0 - 36.8646171823335j)
The graph