Determine convergence from experimental data set

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I have ran a simulation to get a set of data points represented in the image below:

Image

The $x$ values range from 5 to 400 in units of 1 (discrete x axis).

It is clear from the grapical representation that dependent value decreases as $x$ increases. Can anyone suggest how can I test if the data converges to any number greater than 0? All I can be certain of is that at infinity it is greater or equal to 0 (from the nature of the experiment it can only get positive values) .