Mister Exam
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How to use it?
- Limit of the function:
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Limit of ((-2+x)/(3+x))^(4-x)
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Limit of (1+n)^3/n^3
- Limit of i/(1+i)
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Limit of x^2*log(x)
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Identical expressions
- i/(one +i)
- i divide by (1 plus i)
- i divide by (one plus i)
- i/1+i
- i divide by (1+i)
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Similar expressions
- i/(1-i)
Limit of the function i/(1+i)
The solution
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/ I \ lim |-----| i->oo\1 + I/
$$\lim_{i \to \infty}\left(\frac{i}{1 + i}\right)$$
Limit(i/(1 + i), i, 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
Other limits i→0, -oo, +oo, 1
$$\lim_{i \to \infty}\left(\frac{i}{1 + i}\right) = \frac{i \left(1 - i\right)}{2}$$
$$\lim_{i \to 0^-}\left(\frac{i}{1 + i}\right) = \frac{i \left(1 - i\right)}{2}$$
More at i→0 from the left
$$\lim_{i \to 0^+}\left(\frac{i}{1 + i}\right) = \frac{i \left(1 - i\right)}{2}$$
More at i→0 from the right
$$\lim_{i \to 1^-}\left(\frac{i}{1 + i}\right) = \frac{i \left(1 - i\right)}{2}$$
More at i→1 from the left
$$\lim_{i \to 1^+}\left(\frac{i}{1 + i}\right) = \frac{i \left(1 - i\right)}{2}$$
More at i→1 from the right
$$\lim_{i \to -\infty}\left(\frac{i}{1 + i}\right) = \frac{i \left(1 - i\right)}{2}$$
More at i→-oo
$$\lim_{i \to 0^-}\left(\frac{i}{1 + i}\right) = \frac{i \left(1 - i\right)}{2}$$
More at i→0 from the left
$$\lim_{i \to 0^+}\left(\frac{i}{1 + i}\right) = \frac{i \left(1 - i\right)}{2}$$
More at i→0 from the right
$$\lim_{i \to 1^-}\left(\frac{i}{1 + i}\right) = \frac{i \left(1 - i\right)}{2}$$
More at i→1 from the left
$$\lim_{i \to 1^+}\left(\frac{i}{1 + i}\right) = \frac{i \left(1 - i\right)}{2}$$
More at i→1 from the right
$$\lim_{i \to -\infty}\left(\frac{i}{1 + i}\right) = \frac{i \left(1 - i\right)}{2}$$
More at i→-oo