Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (2+sqrt(x)-sqrt(2))/x
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Limit of (2-x)/(-1+x)^2
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Limit of e^(x^2)-cos(x)/x^2
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Limit of (-44-x+3*x^2)/(-16+x^2)
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Identical expressions
- - one /(two *log(x))
- minus 1 divide by (2 multiply by logarithm of (x))
- minus one divide by (two multiply by logarithm of (x))
- -1/(2log(x))
- -1/2logx
- -1 divide by (2*log(x))
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Similar expressions
- 1/(2*log(x))
Limit of the function -1/(2*log(x))
The solution
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[src]
/ -1 \ lim |--------| x->oo\2*log(x)/
$$\lim_{x \to \infty}\left(- \frac{1}{2 \log{\left(x \right)}}\right)$$
Limit(-1/(2*log(x)), x, oo, dir='-')
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
$$\lim_{x \to \infty}\left(- \frac{1}{2 \log{\left(x \right)}}\right) = 0$$
$$\lim_{x \to 0^-}\left(- \frac{1}{2 \log{\left(x \right)}}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- \frac{1}{2 \log{\left(x \right)}}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(- \frac{1}{2 \log{\left(x \right)}}\right) = \infty$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- \frac{1}{2 \log{\left(x \right)}}\right) = -\infty$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(- \frac{1}{2 \log{\left(x \right)}}\right) = 0$$
More at x→-oo
$$\lim_{x \to 0^-}\left(- \frac{1}{2 \log{\left(x \right)}}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- \frac{1}{2 \log{\left(x \right)}}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(- \frac{1}{2 \log{\left(x \right)}}\right) = \infty$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- \frac{1}{2 \log{\left(x \right)}}\right) = -\infty$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(- \frac{1}{2 \log{\left(x \right)}}\right) = 0$$
More at x→-oo
The graph