Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
- Limit of (1+2*x/3)^(3251035981008077*x/140737488355328)
- Limit of ((-2+x+x^2)/(1+x^2))^(-5+2*x^2)
-
Limit of ((2+x)/(1+x))^(3*x)
-
Limit of e^x*(-2+x)
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Identical expressions
- (- one)^x/log(x)
- ( minus 1) to the power of x divide by logarithm of (x)
- ( minus one) to the power of x divide by logarithm of (x)
- (-1)x/log(x)
- -1x/logx
- -1^x/logx
- (-1)^x divide by log(x)
-
Similar expressions
- (1)^x/log(x)
Limit of the function (-1)^x/log(x)
The solution
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[src]
/ x \
|(-1) |
lim |------|
x->oo\log(x)/
$$\lim_{x \to \infty}\left(\frac{\left(-1\right)^{x}}{\log{\left(x \right)}}\right)$$
Limit((-1)^x/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
$$\lim_{x \to \infty}\left(\frac{\left(-1\right)^{x}}{\log{\left(x \right)}}\right)$$
$$\lim_{x \to 0^-}\left(\frac{\left(-1\right)^{x}}{\log{\left(x \right)}}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{\left(-1\right)^{x}}{\log{\left(x \right)}}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{\left(-1\right)^{x}}{\log{\left(x \right)}}\right) = \infty$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{\left(-1\right)^{x}}{\log{\left(x \right)}}\right) = -\infty$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{\left(-1\right)^{x}}{\log{\left(x \right)}}\right)$$
More at x→-oo
$$\lim_{x \to 0^-}\left(\frac{\left(-1\right)^{x}}{\log{\left(x \right)}}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{\left(-1\right)^{x}}{\log{\left(x \right)}}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{\left(-1\right)^{x}}{\log{\left(x \right)}}\right) = \infty$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{\left(-1\right)^{x}}{\log{\left(x \right)}}\right) = -\infty$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{\left(-1\right)^{x}}{\log{\left(x \right)}}\right)$$
More at x→-oo
The graph