The displacement x of a particle varies with time according to the relation `x=(a)/(b)(1-e^(-bt))`. Then select the false alternative.

Options

A. `At t= (1)/(b)` the displacement of the particle is nearly `(2)/(3)((a)/(b))`
B. The velocity and acceleration of the particle at t = 0 are a and –ab respectively
C. The particle cannot go beyond `x=(a)/(b)`
D. The particle will not come back to its starting point at `t rarr 00`