The Basics of Limits -- Calculus Intro

So the question is (and sorry for butchering this... I have tried Latex but cannot figure it out for the life of me)

limit[x:1-,-3x+2] (the limit on (-3x+2) as x approaches 1 from the left)

(PS. Tell me if this notation is acceptable, or my wording is bad...)

The book we use provides solutions, and the solutions show simply subbing in 1 to the (-3x+2), but that wouldn't work if it was piecewise, right?

So how would you do this __other than__ using values like .999999 ?