$x\nearrow 2$ typically means "$x\to 2$ in an increasing fashion" (and therefore, in particular it implies $x\to 2^-$).
Similarly, $x\searrow 2$ typically means "$x\to 2$ in an decreasing fashion" (and therefore, in particular it implies $x\to 2^+$).
As mentioned in the comments below, the $\nearrow 2$, $\searrow 2$ notations (and their less $LaTeX$-savvy equivalents $\uparrow$/$\downarrow$) make more sense for sequences, where the monotonicity implication they carry is a stronger statement than just writing $\to 0^+$ or $\to 0^-$. For the "real-analysis" (non-sequential) version, they are basically equivalent, so feel free to use the one you (or your peers) like most.
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