Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1-4*x)^(1/x)
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Limit of (-16+x^2+6*x)/(-2-5*x+3*x^2)
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Limit of (1+x)^(2/3)-(-1+x)^(2/3)
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Limit of 1/3+x/3
- Integral of d{x}:
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sqrt(y)
- Graphing y =:
- sqrt(y)
- Derivative of:
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sqrt(y)
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Identical expressions
- sqrt(y)
- square root of (y)
- √(y)
- sqrty
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Similar expressions
- x*y^2/sqrt(y^2+(-1+x)^2)
Limit of the function sqrt(y)
The solution
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
Other limits y→0, -oo, +oo, 1
$$\lim_{y \to y^-} \sqrt{y} = \infty$$
More at y→y from the left
$$\lim_{y \to y^+} \sqrt{y} = \infty$$
$$\lim_{y \to \infty} \sqrt{y} = \infty$$
More at y→oo
$$\lim_{y \to 0^-} \sqrt{y} = 0$$
More at y→0 from the left
$$\lim_{y \to 0^+} \sqrt{y} = 0$$
More at y→0 from the right
$$\lim_{y \to 1^-} \sqrt{y} = 1$$
More at y→1 from the left
$$\lim_{y \to 1^+} \sqrt{y} = 1$$
More at y→1 from the right
$$\lim_{y \to -\infty} \sqrt{y} = \infty i$$
More at y→-oo
More at y→y from the left
$$\lim_{y \to y^+} \sqrt{y} = \infty$$
$$\lim_{y \to \infty} \sqrt{y} = \infty$$
More at y→oo
$$\lim_{y \to 0^-} \sqrt{y} = 0$$
More at y→0 from the left
$$\lim_{y \to 0^+} \sqrt{y} = 0$$
More at y→0 from the right
$$\lim_{y \to 1^-} \sqrt{y} = 1$$
More at y→1 from the left
$$\lim_{y \to 1^+} \sqrt{y} = 1$$
More at y→1 from the right
$$\lim_{y \to -\infty} \sqrt{y} = \infty i$$
More at y→-oo
One‐sided limits
[src]
___ lim \/ y y->y+
$$\lim_{y \to y^+} \sqrt{y}$$
oo
$$\infty$$
___ lim \/ y y->y-
$$\lim_{y \to y^-} \sqrt{y}$$
oo
$$\infty$$
oo