A number of continues signals are available to select from to apply the interpolation formula on. By increasing the sampling frequency a more accurate reconstruction of the continues function would result.
The original signal is shown in blue colored solid line, and the sample locations are shown using the red circles. The reconstructed signal is shown using the dotted magenta colored line and is superimposed on the original signal to make it easier to see the effect of increasing the sampling frequency on the reconstruction of the original signal from its samples.
Since a limited number of samples is used in this demonstration, there will be some error remaining in the reconstruction even at a higher sampling frequency than the Nyquist frequency. The absolute error (point by point error) between the original signal and the reconstructed signal is plotted to allow one to observe how the error decreases as the sampling rate increases.