To Find the Solution of Algebraic and Transcendental Equation by Newton-Raphson Method

This paper is about solving algebraic and transcendental equations using a numerical method. Newton-Raphson method is the method named after Sir Issac Newton and Joseph Raphson, two of the most famous scientists of the time. This method is a simple way to obtain an approximation to the real-valued roots of the given equation. It is a fast method, but convergence is not guaranteed, which is the reason why several modifications of that method have been proposed. In this paper, we discuss the modifications to the Newton-Raphson method, the rate of convergence, geometrical significance, and its limitations.