Mister Exam

Lang:

Limit of the function i/(1+i)

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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

Rapid solution [src]

I*(1 - I)
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    2

\frac{i \left(1 - i\right)}{2}

Expand and simplify

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}

\lim_{i \to 0^+}\left(\frac{i}{1 + i}\right) = \frac{i \left(1 - i\right)}{2}

\lim_{i \to 1^-}\left(\frac{i}{1 + i}\right) = \frac{i \left(1 - i\right)}{2}

\lim_{i \to 1^+}\left(\frac{i}{1 + i}\right) = \frac{i \left(1 - i\right)}{2}

\lim_{i \to -\infty}\left(\frac{i}{1 + i}\right) = \frac{i \left(1 - i\right)}{2}