can you show me the code for this in python 3 , please provide explanations (3) The power series for the sine function sin(x) is given byx³x 2n+1(2n + 1)!6= 1.000001.∞X =sin(x) = (-1)"Σ(1)".n=0= XIs this answer correct?Briefly explain why, or why not.+for all x. Use the first four terms in this series in the Horner evaluation function at a suitablevalue of x to give an approximation of sin(π/4).Use your Horner's method function to evaluate the polynomial (x − 1)³ at the point5X120

The Horner's method to evaluate a polynomial (in this case, an approximation of sin(π/4))…

3) The power series for the sine function sin(x) is given by sin(x) = (-1)". -2--1 n=0 x²n+1 (2n + 1)! = X x³ x5 + 6 120 or all x. Use the first four terms in this series in the Horner evaluation function at a suitable value of x to give an approximation of sin(π/4).

3) The power series for the sine function sin(x) is given by sin(x) = (-1)". -2--1 n=0 x²n+1 (2n + 1)! = X x³ x5 + 6 120 or all x. Use the first four terms in this series in the Horner evaluation function at a suitable value of x to give an approximation of sin(π/4).

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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Concept explainers

Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.

Question

can you show me the code for this in python 3 , please provide explanations

(3) The power series for the sine function sin(x) is given by
x³
x 2n+1
(2n + 1)!
6
= 1.000001.
∞
X =
sin(x) = (-1)"
Σ(1)".
n=0
= X
Is this answer correct?
Briefly explain why, or why not.
+
for all x. Use the first four terms in this series in the Horner evaluation function at a suitable
value of x to give an approximation of sin(π/4).
Use your Horner's method function to evaluate the polynomial (x − 1)³ at the point
5
X
120

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