How calculate one side limit with WolframAlpha?

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I read examples, and try:

lim ln(x+1) as x->inf from the left

but always wolfram alpha represent infinity as positive.

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Just write

Limit of "your function" as $x$ -> $x_0$ (your point) from the left/right

In your case, specify "plus infinity" or $+\infty$. Or minus.

In any case, the $\log$ has no limit for points from the left. It does not exist.

Except all the points $x_0 > -1$, because you have $\ln(x+1)$.