 #1
jisbon
 476
 30
 Homework Statement:

Let $$f(x) =
\begin{cases} \dfrac{x^31}{\sqrt{x}1}, & x > 1\\
cos(x1)x^2, & x \leq 1\end{cases}$$
Use Newton's method with ##x_{0} =1##, compute the second iterate to approximate value ##c## where ##c## is a stationary value that lies in the xaxis for some ##0<c<1##
 Relevant Equations:
 
Since the Newton's method is as follows:
$$x_{n+1}=x_{n}\frac{f(x_{n})}{f'(x_{n})}$$
$$x_{1}=x_{0}\frac{cos(0)1}{sin(0)2}$$
Is this correct? What should I proceed on from here?
$$x_{n+1}=x_{n}\frac{f(x_{n})}{f'(x_{n})}$$
$$x_{1}=x_{0}\frac{cos(0)1}{sin(0)2}$$
Is this correct? What should I proceed on from here?
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