Answer the following True or False: If lim f(x) = – 3 then f(x) is continuous at x = – 2.
2 - 2

False; consider as a counterexample the function f : ℝ→ℝ defined by

Clearly f approaches -3 as x gets closer to -2, but neither limit from either side is equal to the function's value at x = 2 (that is, -3 ≠ 0), so f is not continuous.

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !