The factorial of a positive real integer is defined as follows: Subsequent facto

Q: The factorial of a positive real integer is defined as follows: Subsequent facto

[1] function y = fact(n) f = 1; while n > 1 n = n-1; f = f*n; end y = f; end [2] clear all; clase all; n = 9; disp('Factorial of 9 is : ' fact(n)) [3] e = 0; for m = 1:6 e = e + m/fact(m); end

ID: 3812167 • Letter: T

Question

The factorial of a positive real integer is defined as follows:

Subsequent factorial numbers are related according to:

A. Write a function that takes a positive real integer as input and returns the factorial result. Ensure that your function checks for wrong inputs such as non-integers or n < 1.
B. Write an m-file which uses your function from part A to calculate the 9 factorial (i.e. 9!)
C. The mathematical constant e can be obtained using the infinite series:

Using your function written in part A, write an m-file that calculates the value of e to 6 decimal places (i.e. a precision of 10-6). You should calculate the error as the difference between the new value and the old value.

Note: Do not use the MATLAB inbuilt function “factorial”.

n! n x (n -1) x (n 2)... x 3 x 2 x 1, n 1

Explanation / Answer

[1]
function y = fact(n)

   f = 1;
   while n > 1
         n = n-1;
         f = f*n;
   end
   y = f;

end

[2]
clear all;
clase all;
n = 9;
disp('Factorial of 9 is : ' fact(n))

[3]

e = 0;
for m = 1:6
e = e + m/fact(m);
end

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The factorial of a positive integer n is denoted n! and is defined as follows: n

The factors of a positive integer number N are those numbers that divide N evenl

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The factorial of a positive real integer is defined as follows: Subsequent facto

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