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Limit[expr,x->Subscript[x, 0],Direction->1] computes the limit as x approaches Subscript[x, 0] from smaller values. Limit[expr,x->Subscript[x, 0],Direction->-1] computes the limit as x approaches Subscript[x, 0] from larger values.

This to me is confusing, I though x->4- that x are approaching xo from smaller values, in other words from the left hand side. Why would one therefore use 1 for left hand side and -1 for right hand side. Do not see the logic

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Approaching direction corresponds to the direction of axis for example. –  Kuba Jul 9 at 8:02
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Think of it as the direction you're going, not the direction you're coming from. (Although I do agree with you that it is a little inconsistent with the traditional mathematical notation. Perhaps they should have just used Above and Below for no chance of confusion.) –  Rahul Narain Jul 9 at 9:19

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