Given f(x) = xe* - 1 = 0. Use Newton Raphson method to find the roots. Use 10 iterations maximum, and find out the accuracy (comparing with the previous iteration value) at the end of 10 iterations. Consider the same equation given in problem 1 and use Secant's method to solve the equation instead of bisection method, and find out how many iteration it will need to get the solution up to same amount of accuracy. Given f(x) = xe - 1 = 0. Use Newton Raphson method to find the roots. Use 10 iterations maximum, and find out the accuracy (comparing with the previous iteration value) at the end of 10 iterations.

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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.