Please shpw the code in java and the algorithm(pseudocode) Assignment: Write an

Question

Please shpw the code in java and the algorithm(pseudocode)

Assignment: Write an algorithm (pseudocode) and program to compute e. The calculation of the important mathematical constant e will be done as the sum of an infinite series: e = 1/n! n=0

Output: Output will include your computed value for e, the math library constant “expected value” for e and the number of iterations (loop executions) it took to reach sixteen-decimal-place accuracy (2.7182818284590450). Make your output clean, labeled, and easy to read for comparing results. No computational rounding is allowed. Acceptable output would look something like: Computed value of e : 2.7182818284590450 Expected value of e : 2.7182818284590450 Required iterations : 30

Note: # of iterations above is not correct.

Input: No user input.

Explanation / Answer

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// Algorithm to find out value of e

Step 0: Start

Step 1 : Intialise sum = 0, Declare variable sum, value, i and k;

Step 2: Assign i =0;

Step 3: check condition i is less than VERYLARGEVALUE

Step 4 : If condition hold true go to 6

Step 5 : Else go to step 18

Step 6: Assign Value = 1

Step 7: Assign k =0;

Step 8: check condition k is less than i

Step 9 : If condition hold true go to step 11

Step 10 : Else go to step 14

Step 11 Assign Value = Value * k

Step 12: increment k by 1

Step 13: Go to step 8

Step 14 : Calculate Value = 1/Value;

Step 15: Calculate Sum = Sum + Value;

Step 16: Increment i by 1

Step 17: Go To Step 3

Step 18: Print sum i.e.(value of e)

Step 19: End

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