For the function formula_22, we can get as close to formula_30 in the formula_3-values as we want, so long as we do "not" make formula_3 equal to formula_30. For instance, we could make x=.00000001 or -.00000001, but never 0. Therefore, we can get formula_1 as close as we want to formula_31, but without reaching it. The left limit is any value that approaches the limit from numbers less than the number, and the right limit is any value that approaches the limit from number greater than the limit number. For instance, in the function formula_22, since the limit for formula_3 is 0, if formula_42, it approaches the limit from the right. If we instead choose -1, we say it approaches the limit from the left.