I used a graph plotter and ploted the graph of x! and noticed a critical point at x=0.5 (I plotted graph for real no.) . What can be the reason for this depression in interval (0,1) ?

Dear Student,
Please find below the solution to the asked query:

The graph you have plotted is not of factorial function.It is the graph of gamma function which is an extension of the factorialfunction.Unlike factorial, gamma function is defined for all positive real numbers.

Hope this information will clear your doubts about this topic.

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