Problem StatementEden is tasked with writing a program to help her calculate the sum of a series using the Taylor series expansion. Help her write a program that takes inputs for the base value x and the number of terms n, then outputs the result. The Taylor series is given by: ex = 1 + x/1! + x2/2! + ... + xn/n! where the power values are calculated using the pow() function.ExampleIf x=4 and n=3, the calculation is given by:e4 = 1 + 4/1! + 42/2! + 43/3! = 1 + 4 + 8 + 10.6666 = 23.6666 which rounds off to 23.67.Input format :The input consists of two space-separated integers x and n, representing the base value and the number of terms in the series, respectively.Output format :The output prints a double value, representing the sum of the series, rounded off to two decimal places.Refer to the sample output for formatting specifications.Code constraints :In the given scenario, the test cases will fall under the following constraints:1 ≤ x, n ≤ 10Sample test cases :Input 1 :1 1Output 1 :2.00Input 2 :10 10Output 2 :12842.31Input 3 :4 3Output 3 :23.67
Question
Problem StatementEden is tasked with writing a program to help her calculate the sum of a series using the Taylor series expansion. Help her write a program that takes inputs for the base value x and the number of terms n, then outputs the result. The Taylor series is given by: ex = 1 + x/1! + x2/2! + ... + xn/n! where the power values are calculated using the pow() function.ExampleIf x=4 and n=3, the calculation is given by:e4 = 1 + 4/1! + 42/2! + 43/3! = 1 + 4 + 8 + 10.6666 = 23.6666 which rounds off to 23.67.Input format :The input consists of two space-separated integers x and n, representing the base value and the number of terms in the series, respectively.Output format :The output prints a double value, representing the sum of the series, rounded off to two decimal places.Refer to the sample output for formatting specifications.Code constraints :In the given scenario, the test cases will fall under the following constraints:1 ≤ x, n ≤ 10Sample test cases :Input 1 :1 1Output 1 :2.00Input 2 :10 10Output 2 :12842.31Input 3 :4 3Output 3 :23.67
Solution
The problem statement is asking to write a program that calculates the sum of a series using the Taylor series expansion. The Taylor series expansion is given by: ex = 1 + x/1! + x2/2! + ... + xn/n!. The program should take two inputs: the base value x and the number of terms n. The output should be the sum of the series, rounded off to two decimal places.
Here is a step-by-step guide on how to solve this problem:
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First, you need to define a function to calculate the factorial of a number. This function will be used to calculate the denominator of each term in the series. You can use a simple for loop to calculate the factorial.
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Next, you need to define a function to calculate the power of a number. This function will be used to calculate the numerator of each term in the series. You can use
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