Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of 10+x^2+3*x^3+8*x
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Limit of (-2+sqrt(x))/(-4+x^2)
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Limit of x+2*x^3+5*x^4-x^2/3
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Limit of (-x^3+2*x+5*x^4)/(1+x^4-8*x^3)
- Graphing y =:
- -x*log(x)^2
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Identical expressions
- -x*log(x)^ two
- minus x multiply by logarithm of (x) squared
- minus x multiply by logarithm of (x) to the power of two
- -x*log(x)2
- -x*logx2
- -x*log(x)²
- -x*log(x) to the power of 2
- -xlog(x)^2
- -xlog(x)2
- -xlogx2
- -xlogx^2
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Similar expressions
- x*log(x)^2
Limit of the function -x*log(x)^2
The solution
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[src]
/ 2 \ lim \-x*log (x)/ x->0+
$$\lim_{x \to 0^+}\left(- x \log{\left(x \right)}^{2}\right)$$
Limit((-x)*log(x)^2, x, 0)
The graph
One‐sided limits
[src]
/ 2 \ lim \-x*log (x)/ x->0+
$$\lim_{x \to 0^+}\left(- x \log{\left(x \right)}^{2}\right)$$
0
$$0$$
= -0.0145268477491906
/ 2 \ lim \-x*log (x)/ x->0-
$$\lim_{x \to 0^-}\left(- x \log{\left(x \right)}^{2}\right)$$
0
$$0$$
= (0.0126046545241533 - 0.0122434670558655j)
= (0.0126046545241533 - 0.0122434670558655j)
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(- x \log{\left(x \right)}^{2}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- x \log{\left(x \right)}^{2}\right) = 0$$
$$\lim_{x \to \infty}\left(- x \log{\left(x \right)}^{2}\right) = -\infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(- x \log{\left(x \right)}^{2}\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- x \log{\left(x \right)}^{2}\right) = 0$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(- x \log{\left(x \right)}^{2}\right) = \infty$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- x \log{\left(x \right)}^{2}\right) = 0$$
$$\lim_{x \to \infty}\left(- x \log{\left(x \right)}^{2}\right) = -\infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(- x \log{\left(x \right)}^{2}\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- x \log{\left(x \right)}^{2}\right) = 0$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(- x \log{\left(x \right)}^{2}\right) = \infty$$
More at x→-oo
The graph