Write a Python program that implements the Taylor series expansion of the function (1+x) forany x in the interval (-1,1], as given by:1(1+x) = x-x²/2 + x³/3 - x^/4 + x³/5.The program prompts the user to enter the number of terms n. If n> 0, the program promptsthe user to enter the value of x. If the value of xis in the interval (-1, 1], the program calculatesthe approximation to l(1+x) using the first n terms of the above series. The program prints theapproximate value.Note that the program should validate the user input for different values. If an invalid value isentered, the program should output an appropriate error messages and loops as long as theinput is not valid.Sample program run:Enter number of terms: 0Error: Zero or negative number of terms not acceptedEnter the number of terms: 9000Enter the value of x in the interval (-1, 1]: -2Error: Invalid value for xEnter the value of x in the interval (-1, 1]: 0.5The approximate value of ln (1+0.5000) up to 9000 terms is 0.4054651081

Write a Python program that implements the Taylor series expansion of the function (1+x) for any x in the interval (-1,1], as given by: (1+x) = x− x²/2 + x³/3 − x^/4 + x³/5 - .... The program prompts the user to enter the number of terms n. If n > 0, the program prompts the user to enter the value of x. If the value of xis in the interval (-1, 1], the program calculates the approximation to l(1+x) using the first n terms of the above series. The program prints the

Write a Python program that implements the Taylor series expansion of the function (1+x) for any x in the interval (-1,1], as given by: (1+x) = x− x²/2 + x³/3 − x^/4 + x³/5 - .... The program prompts the user to enter the number of terms n. If n > 0, the program prompts the user to enter the value of x. If the value of xis in the interval (-1, 1], the program calculates the approximation to l(1+x) using the first n terms of the above series. The program prints the

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Write a Python program that implements the Taylor series expansion of the function (1+x) for
any x in the interval (-1,1], as given by:
1(1+x) = x-x²/2 + x³/3 - x^/4 + x³/5.
The program prompts the user to enter the number of terms n. If n> 0, the program prompts
the user to enter the value of x. If the value of xis in the interval (-1, 1], the program calculates
the approximation to l(1+x) using the first n terms of the above series. The program prints the
approximate value.
Note that the program should validate the user input for different values. If an invalid value is
entered, the program should output an appropriate error messages and loops as long as the
input is not valid.
Sample program run:
Enter number of terms: 0
Error: Zero or negative number of terms not accepted
Enter the number of terms: 9000
Enter the value of x in the interval (-1, 1]: -2
Error: Invalid value for x
Enter the value of x in the interval (-1, 1]: 0.5
The approximate value of ln (1+0.5000) up to 9000 terms is 0.4054651081

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