Question

can someone tell me when Newton's method fail?

Answer 1

Here's the general formula for Newton's Method:\[x _{2}=x _{1}-\frac{ f(x _{1}) }{f '(x _{1} )}\]

Answer 2

One of the best answers I could give you is that this Method will fail if the derivative of the function approaches zero. Can you see why?

Answer 3

is undefined (due to the denominator being zero)

Answer 4

Cool. So your approximate root is going to approach some crazy (large) value. I can't think of other situations in which Newton's Method fails. You could try looking up Newton's Method on the 'Net and determining whether any of the resulting links discuss situations in which the Method does not "work."

Answer 5

ex the third root of x why this fail when we apply newton method?

Answer 6

example=ex