Solve the problem.
-Apply Newton's method to $f ( x ) = \sqrt [ a ] { x } , a 0$, and write an expression for $x _ { n } + 1$. If the initial guess $x _ { 0 }$ is greater than or equal to 1 , what happens to $\left| x _ { n } + 1 \right|$ as $n \rightarrow \infty$ ?

Question

Solve the problem.
-Apply Newton's method to $f ( x ) = \sqrt [ a ] { x } , a > 0$, and write an expression for $x _ { n } + 1$. If the initial guess $x _ { 0 }$ is greater than or equal to 1 , what happens to $\left| x _ { n } + 1 \right|$ as $n \rightarrow \infty$ ?

Quizplus · Accepted Answer

The Answer of Solve the problem.
-Apply Newton's method to $f ( x ) = \sqrt [ a ] { x } , a > 0$, and write an expression for $x _ { n } + 1$. If the initial guess $x _ { 0 }$ is greater than or equal to 1 , what happens to $\left| x _ { n } + 1 \right|$ as $n \rightarrow \infty$ ?

Solve the Problem f(x)=xa,a>0f ( x ) = \sqrt [ a ] { x } , a > 0f(x)=ax​,a>0

Solve the Problem $f ( x ) = \sqrt [ a ] { x } , a > 0$