Answer:
The third approximation is
Step-by-step explanation:
We are given that
We have to find the second and third approximation of a root of given equation by using Newton's method.
We know that Newton's method , if nth approximation is given and then, the next approximation is given by
Substitute
Substitute the value n=1 then, we get
Substitute the values then , we get the second approximation
For n=2
Hence, the third approximation is