Which of the following functions is continuous at but not differentiable there?
E) All of the above.

Question

Which of the following functions is continuous at  but not differentiable there?
E) All of the above.

Quizplus · Accepted Answer

The function 11eaa655_3b45_9bb6_a696_4176db03b1d8_TB5596_11 is the only option that has the same constant coefficient (11) as in the given point, and a non-integer exponent, which means it is not differentiable at that point (since the derivative of a function with a non-integer exponent is not defined at points with negative values). Furthermore, it is continuous at that point because the limit of the function as x approaches 11eaa655_3b45_74a3_a696_0f7ea9c37f07_TB5596_11 is equal to its value at that point, which is also 11eaa655_3b45_9bb6_a696_4176db03b1d8_TB5596_11. Therefore, the correct answer is C.

Which of the Following Functions Is Continuous at but Not