How do I know if it is minus or plus infinity if it is coming from the left or right?

Set values close to or behind the definition gaps and thus determine the sign.

If you come from the left direction x=1, you are e.g. at x=0.99, then the counter is positive, and both clamps in the denominator yield negative values, i.e. their multiplication likewise yields a positive value, so that the complete break is positive, i.e., the direction ∞.

Coming from the right, for example at x=1.01, the counter is again positive, but in the denominator the first clamp is now positive, with a negative second clamp, i.e. the denominator is negative, and thus (because of the positive counter) the break is negative, i.e. it goes from the right direction x=1 direction −∞.