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Solution 1 to 6
Solution 5

Evaluate the Series e2

This program calculates the value of the series ex using the formula: ex = 1 + x/1! + x2/2! + x3/3! + .... + xn/n! It prompts the user to enter the value for x and the number of terms n to include in the series. The program then computes the sum of the series up to n terms and displays the result.

Code Breakdown

Algorithm

  1. Start
  2. Input Value for x: Read the value of x from the user.
  3. Input Number of Terms: Read the number of terms n to be added in the series.
  4. Initialize Variables:
    • Set term to 1.
    • Set sum to 0.
  5. Calculate Series:
    • Loop from i = 1 to n:
      • Add term to sum.
      • Update term as term * x / i.
  6. Display Result:
    • Print the result of e^x up to n terms.
  7. End

Code Explanation

Example Flowchart

                              Start
                                |
                                V
                        Input value for x
                                |
                                V
                     Input number of terms n
                                |
                                V
                  Initialize term = 1, sum = 0
                                |
                                V
                          For i = 1 to n
                                |
                                V
                         Add term to sum
                                |
                                V
                     Update term as term * x / i
                                |
                                V
                           End of loop
                                |
                                V
                     Display result e^x = sum
                                |
                                V
                               End
Solution 4Solution 6