Question

Evaluate the limit as x tends to a of the cube root of 2x.

a) 2a
b) Infinity
c) Cube root of a
d) Undefined

Answer 1

The limit as x tends to a of the cube root of 2x is the cube root of a.

Step-by-step explanation:

To evaluate the limit as x tends to a of the cube root of 2x, we can use the fact that the cube root function is a continuous function. This means that we can evaluate the limit by substituting the value of x directly into the function. Therefore, the limit is the cube root of 2a, which is option c) Cube root of a.