Answer
True.
Work Step by Step
f(0.24009) = 0.4899
f(0.24099) = 0.4909
f(0.24999) = 0.4999
f(0.25) = ?
f(0.25001) = 0.500009
f(0.25011) = 0.500109
f(0.25111) = 0.501108
From the values above of f(x) it is clear that f(x) is approaching 0.5 so, the limit is 0.5 as x approaches 0.25