Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of 2+((-1+x)/(3+x))^x
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Limit of (-1+x)/(x+x^2)
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Limit of ((1+x)^4-(-1+x)^4)/((1+x)^4+(-1+x)^4)
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Limit of tan(6*x)/(3*x)
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Identical expressions
- x^ two *log(x^ two)
- x squared multiply by logarithm of (x squared )
- x to the power of two multiply by logarithm of (x to the power of two)
- x2*log(x2)
- x2*logx2
- x²*log(x²)
- x to the power of 2*log(x to the power of 2)
- x^2log(x^2)
- x2log(x2)
- x2logx2
- x^2logx^2
Limit of the function x^2*log(x^2)
The solution
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/ 2 / 2\\ lim \x *log\x // x->0+
$$\lim_{x \to 0^+}\left(x^{2} \log{\left(x^{2} \right)}\right)$$
Limit(x^2*log(x^2), x, 0)
The graph
One‐sided limits
[src]
/ 2 / 2\\ lim \x *log\x // x->0+
$$\lim_{x \to 0^+}\left(x^{2} \log{\left(x^{2} \right)}\right)$$
0
$$0$$
= -1.593942428042e-6
/ 2 / 2\\ lim \x *log\x // x->0-
$$\lim_{x \to 0^-}\left(x^{2} \log{\left(x^{2} \right)}\right)$$
0
$$0$$
= -1.593942428042e-6
= -1.593942428042e-6
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(x^{2} \log{\left(x^{2} \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{2} \log{\left(x^{2} \right)}\right) = 0$$
$$\lim_{x \to \infty}\left(x^{2} \log{\left(x^{2} \right)}\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(x^{2} \log{\left(x^{2} \right)}\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{2} \log{\left(x^{2} \right)}\right) = 0$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{2} \log{\left(x^{2} \right)}\right) = \infty$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{2} \log{\left(x^{2} \right)}\right) = 0$$
$$\lim_{x \to \infty}\left(x^{2} \log{\left(x^{2} \right)}\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(x^{2} \log{\left(x^{2} \right)}\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{2} \log{\left(x^{2} \right)}\right) = 0$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{2} \log{\left(x^{2} \right)}\right) = \infty$$
More at x→-oo
The graph