The following function computes by summing the Taylor series expansion to n terms. Write a program to print a table of using both this function and the exp() function from the math library, for x = 0 to 1 in steps of 0.1. The program should ask the user what value of n to use. (PLEASE WRITE IN PYTHON)
def taylor(x, n): sum = 1 term = 1 for i in range(1, n): term = term * x / i sum = sum + term return sum
n = input("Enter a number: ")
print (taylor(0,n))
print (taylor(0.1,n))
print (taylor(0.2,n))
print (taylor(0.3,n))
print (taylor(0.4,n))
print (taylor(05,n))
print (taylor(0.6,n))
print (taylor(0.7,n))
print (taylor(0.8,n))
print (taylor(0.9,n))
print (taylor(1,n))
The following function computes by summing the Taylor series expansion to n terms. Write a program...
Write a program in Python that approximates the value of π by summing the terms of this series: 4/1-4/3 + 4/5- 4/7 + 4/9- 4/11 + ... The program should prompt the user for n, the number of terms to sum, and then output the sum of the first n terms of this series. Have your program subtract the approximation from the value of math. pi to see how accurate it is.
Problem 5 xx The Taylor series expansion for sin(x) is sin(x) = x -H + E-E+ = o E- (-1) . 2n +1 no (2n+1)! !57 where x is in radians. Write a MATLAB program that determines sin(x) using the Taylor series expansion. The program asks the user to type a value for an angle in degrees. Then the program uses a while loop for adding the terms of the Taylor series. If an n is the nth term in...
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Write a C++ program that computes the following series: sum = 1/firstPrime + 2/secondPrime+…..+1/nthPrime Your program should prompt the user to enter a number n. The program will compute and display sum based on the series defined above. firstPrime: is 2 secondPrime: the first prime number after 2 thirdPrime: the third prime number …. nth prime: the nth prime number Your program must be organized as follows: int main() { //prompt the user to enter n //read n from the...
Problem #5 Equation 1 is the infinite Taylor series expansion of ln(1 + x), where In is the natural logarithm: 5 (-1)k+1 Eqn. 1 Σ(-1)k+1 k In(1 + x) Eqn. 2 Equation 2 is the finite version that calculates an approximation for ln(1 + x). Instead of letting k go to infinity, it stops summing once k reaches some fixed value N. Task Develop a program that can compute ln(1 +x). Have it first ask the user to enter x...
C++: Write a program that computes and displays a full binomial expansion, such as (x+y)^n where only n is asked for by the user.
Write the Taylor series expansion for the following function up to the second order terms about point (1,1). Then, compare approximate and exact values of the function at (1.2,0.8). f(x1, x2) = 10x1 – 20x{x2 + 10xż + x– 2x1 + 5
Below you will find a recursive function that computes a Fibonacci sequence (Links to an external site.). # Python program to display the Fibonacci sequence up to n-th term using recursive functions def recur_fibo(n): """Recursive function to print Fibonacci sequence""" if n <= 1: return n else: return(recur_fibo(n-1) + recur_fibo(n-2)) # Change this value for a different result nterms = 10 # uncomment to take input from the user #nterms = int(input("How many terms? ")) # check if the number...
This is the given code: /** * This program uses a Taylor Series to compute a value * of sine. * */ #include<stdlib.h> #include<stdio.h> #include<math.h> /** * A function to compute the factorial function, n!. */ long factorial(int n) { long result = 1, i; for(i=2; i<=n; i++) { result *= i; } return result; } int main(int argc, char **argv) { if(argc != 3) { fprintf(stderr, "Usage: %s x n ", argv[0]); exit(1); } double x = atof(argv[1]); int...
Problem #5 Equation 1 is the infinite Taylor series expansion of ln(1 + x), where In is the natural logarithm: 5 (-1)k+1 Eqn. 1 Σ(-1)k+1 k In(1 + x) Eqn. 2 Equation 2 is the finite version that calculates an approximation for ln(1 + x). Instead of letting k go to infinity, it stops summing once k reaches some fixed value N. Task Develop a program that can compute ln(1 +x). Have it first ask the user to enter x...