How would you define in order to make f continuous at ?
E)none of these

Question

How would you define  in order to make f continuous at  ? 
E)none of these

Quizplus · Accepted Answer

In order to make f continuous at 11eaa3e5_560a_3816_9f8f_e1058c2a8042_TB5971_11, the limit of f as x approaches this point from both directions needs to exist and equal the same value. Since the given function has a jump discontinuity at this point (the limit from the left is different than the limit from the right), we need to define 11eaa3e5_560a_3815_9f8f_cbf44728db31_TB5971_11 and 11eaa3e5_560a_5f27_9f8f_496b6781308e_TB5971_11 so that they average out to the value of the function at the point in question. Looking at the answer choices, only option D satisfies this requirement.

How Would You Define in Order to Make F