Answer
TRUE
Work Step by Step
We know that at an inflection point (where $f$ is twice continuously differentiable), we must have $f''(x)=0$. The curvature is given by:
$\kappa(x)=\frac{|f''(x)|}{[1+(f'(x))^2]^{3/2}}$
Plugging in $f''(x)=0$, we get $\kappa(x)=0$. Thus the curvature must be zero. True.
