Mister Exam
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How to use it?
- Limit of the function:
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Limit of (-5+7*n)/(2+n)
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Limit of (-64+4^x)/(-3+x)
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Limit of (-7+3*x^2+5*x)/(1+x+3*x^2)
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Limit of (-2+2*x^3+7*x)/(-4-x+3*x^3)
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Identical expressions
- one /(n*log(n)^ four)
- 1 divide by (n multiply by logarithm of (n) to the power of 4)
- one divide by (n multiply by logarithm of (n) to the power of four)
- 1/(n*log(n)4)
- 1/n*logn4
- 1/(n*log(n)⁴)
- 1/(nlog(n)^4)
- 1/(nlog(n)4)
- 1/nlogn4
- 1/nlogn^4
- 1 divide by (n*log(n)^4)
Limit of the function 1/(n*log(n)^4)
The solution
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/ 1 \
lim |1*---------|
n->oo| 4 |
\ n*log (n)/
$$\lim_{n \to \infty}\left(1 \cdot \frac{1}{n \log{\left(n \right)}^{4}}\right)$$
Limit(1/(n*log(n)^4), n, 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 n→0, -oo, +oo, 1
$$\lim_{n \to \infty}\left(1 \cdot \frac{1}{n \log{\left(n \right)}^{4}}\right) = 0$$
$$\lim_{n \to 0^-}\left(1 \cdot \frac{1}{n \log{\left(n \right)}^{4}}\right) = -\infty$$
More at n→0 from the left
$$\lim_{n \to 0^+}\left(1 \cdot \frac{1}{n \log{\left(n \right)}^{4}}\right) = \infty$$
More at n→0 from the right
$$\lim_{n \to 1^-}\left(1 \cdot \frac{1}{n \log{\left(n \right)}^{4}}\right) = \infty$$
More at n→1 from the left
$$\lim_{n \to 1^+}\left(1 \cdot \frac{1}{n \log{\left(n \right)}^{4}}\right) = \infty$$
More at n→1 from the right
$$\lim_{n \to -\infty}\left(1 \cdot \frac{1}{n \log{\left(n \right)}^{4}}\right) = 0$$
More at n→-oo
$$\lim_{n \to 0^-}\left(1 \cdot \frac{1}{n \log{\left(n \right)}^{4}}\right) = -\infty$$
More at n→0 from the left
$$\lim_{n \to 0^+}\left(1 \cdot \frac{1}{n \log{\left(n \right)}^{4}}\right) = \infty$$
More at n→0 from the right
$$\lim_{n \to 1^-}\left(1 \cdot \frac{1}{n \log{\left(n \right)}^{4}}\right) = \infty$$
More at n→1 from the left
$$\lim_{n \to 1^+}\left(1 \cdot \frac{1}{n \log{\left(n \right)}^{4}}\right) = \infty$$
More at n→1 from the right
$$\lim_{n \to -\infty}\left(1 \cdot \frac{1}{n \log{\left(n \right)}^{4}}\right) = 0$$
More at n→-oo
The graph