Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
-
Limit of sin(x)/x+tan(x)
-
Limit of ((2+x)/(-1+x))^(4*x)
-
Limit of 3+2*x*(-2+x)/(1+x)
-
Limit of 12+x^2-9*x/4
- Integral of d{x}:
- 1/(x^2*log(x))
-
Identical expressions
- one /(x^ two *log(x))
- 1 divide by (x squared multiply by logarithm of (x))
- one divide by (x to the power of two multiply by logarithm of (x))
- 1/(x2*log(x))
- 1/x2*logx
- 1/(x²*log(x))
- 1/(x to the power of 2*log(x))
- 1/(x^2log(x))
- 1/(x2log(x))
- 1/x2logx
- 1/x^2logx
- 1 divide by (x^2*log(x))
Limit of the function 1/(x^2*log(x))
The solution
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1
lim ---------
x->-oo 2
x *log(x)
$$\lim_{x \to -\infty} \frac{1}{x^{2} \log{\left(x \right)}}$$
Limit(1/(x^2*log(x)), x, -oo)
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
$$\lim_{x \to -\infty} \frac{1}{x^{2} \log{\left(x \right)}} = 0$$
$$\lim_{x \to \infty} \frac{1}{x^{2} \log{\left(x \right)}} = 0$$
More at x→oo
$$\lim_{x \to 0^-} \frac{1}{x^{2} \log{\left(x \right)}} = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{x^{2} \log{\left(x \right)}} = -\infty$$
More at x→0 from the right
$$\lim_{x \to 1^-} \frac{1}{x^{2} \log{\left(x \right)}} = -\infty$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{x^{2} \log{\left(x \right)}} = \infty$$
More at x→1 from the right
$$\lim_{x \to \infty} \frac{1}{x^{2} \log{\left(x \right)}} = 0$$
More at x→oo
$$\lim_{x \to 0^-} \frac{1}{x^{2} \log{\left(x \right)}} = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{x^{2} \log{\left(x \right)}} = -\infty$$
More at x→0 from the right
$$\lim_{x \to 1^-} \frac{1}{x^{2} \log{\left(x \right)}} = -\infty$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{x^{2} \log{\left(x \right)}} = \infty$$
More at x→1 from the right
The graph