The Stirling function stirling is given as an approximation of n The R function factorial is also an approximation for the factorial operation This means that prod(1 n) will not always be the same as n j 1 j Find out the least n for which factorial does not agree with the result for prod(1 n) Also, for 1 n, plot the n values using the prod, stirling and factorial functions against 1 n and make notes

Question: The Stirling function stirling is given as an approximation of n!. The R function factorial is also an approximation for the factorial operation. This means

The Stirling function stirling is given as an approximation of n!. The R function factorial is also an approximation for the factorial operation. This means that prod(1:n) will not always be the same as Πⁿ _j=1 j. Find out the least n for which factorial does not agree with the result for prod(1:n). Also, for 1:n, plot the n! values using the prod, stirling and factorial functions against 1:n and make notes.

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