# Answer on Real Analysis Question for saeed

Question #17149

1. Consider the function ( ) 2 3 f x x

a. Show that f (x) has a root in the interval [1, 2].

b. Compute an approximation to the root by taking 4 steps of the bisection method.(BY HAND)

c. Repeat, using Newton's method. Take x0=1.5 for the starting value.

For each method, present the results in the form of table:

Column1:n (step)

Column2:xn (approximation)

Column3: ( ) n f x

Column4:| xn - xn-1 | (error)

a. Show that f (x) has a root in the interval [1, 2].

b. Compute an approximation to the root by taking 4 steps of the bisection method.(BY HAND)

c. Repeat, using Newton's method. Take x0=1.5 for the starting value.

For each method, present the results in the form of table:

Column1:n (step)

Column2:xn (approximation)

Column3: ( ) n f x

Column4:| xn - xn-1 | (error)

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