Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of ((1+2*x)^4-(-1+x)^4)/((1+2*x)^4+(-1+x)^4)
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Limit of sqrt(log(x))
- Limit of -7
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Limit of x^3+6*x^2+9*x
- Derivative of:
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sqrt(log(x))
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Identical expressions
- sqrt(log(x))
- square root of ( logarithm of (x))
- √(log(x))
- sqrtlogx
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Similar expressions
- x*sqrt(log(x^2))/sin(x)
- 1/sqrt(log(x)^3)-1/log(2)^(3/2)
Limit of the function sqrt(log(x))
The solution
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[src]
________ lim \/ log(x) x->0+
$$\lim_{x \to 0^+} \sqrt{\log{\left(x \right)}}$$
Limit(sqrt(log(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
One‐sided limits
[src]
________ lim \/ log(x) x->0+
$$\lim_{x \to 0^+} \sqrt{\log{\left(x \right)}}$$
oo*I
$$\infty i$$
= (0.0 + 2.96956799395125j)
________ lim \/ log(x) x->0-
$$\lim_{x \to 0^-} \sqrt{\log{\left(x \right)}}$$
oo*I
$$\infty i$$
= (0.524742435538916 + 3.01531269832859j)
= (0.524742435538916 + 3.01531269832859j)
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} \sqrt{\log{\left(x \right)}} = \infty i$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{\log{\left(x \right)}} = \infty i$$
$$\lim_{x \to \infty} \sqrt{\log{\left(x \right)}} = \infty$$
More at x→oo
$$\lim_{x \to 1^-} \sqrt{\log{\left(x \right)}} = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{\log{\left(x \right)}} = 0$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{\log{\left(x \right)}} = \infty$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{\log{\left(x \right)}} = \infty i$$
$$\lim_{x \to \infty} \sqrt{\log{\left(x \right)}} = \infty$$
More at x→oo
$$\lim_{x \to 1^-} \sqrt{\log{\left(x \right)}} = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{\log{\left(x \right)}} = 0$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{\log{\left(x \right)}} = \infty$$
More at x→-oo
The graph