Cracking The Ap Calculus ab Exam 2018

The left-hand limit is: f(x) = 2 + 1 = 3.

The right-hand limit is: f(x) = 2(2) − 1 = 3.

Because the two limits are the same, the limit exists.

Condition 3: Does f(x) = f(2)?

The f(x) = 3, but f(2) = 4. Because these aren’t equal, the answer is “no” and the function is not

continuous at x = 2.

TYPES OF DISCONTINUITIES

There are four types of discontinuities you have to know: jump, point, essential, and removable.

A   jump    discontinuity   occurs  when    the curve   “breaks”    at  a   particular  place   and starts  somewhere

else.   In  other   words,   f(x)   ≠    f(x).

An example of jump discontinuity looks like this.