using-newtons-method-estimate-the-solution-to-the-equation-x-e-x-in-the-interval

Question

Using Newton's Method, estimate the solution to the equation $x = e^{- x}$ in the interval $open paren 0 comma 1 close paren$ . Starting with an initial guess of $x sub 0 equals 0.5$ , what is the first approximation $open paren x sub 1 close paren$ in two decimal places?

Accepted Answer

Answer

Answer

Answer

$x = e^{- x}$

Using Newton's Method, estimate the solution to the equation x=e−xx=e^{-x} in the interval (0,1)(0,1). Starting with an initial guess of x0=0.5x_0=0.5, what is the first approximation (x1)\left(x_1\right) in two decimal places?

Using Newton's Method, estimate the solution to the equation $x = e^{- x}$ in the interval $open paren 0 comma 1 close paren$ . Starting with an initial guess of $x sub 0 equals 0.5$ , what is the first approximation $open paren x sub 1 close paren$ in two decimal places?