For each function find an interval [a,b] so that f(a) and f(b) have opposite signs

f(x) = e^x-2-x

f(x) = cos (x)+1 -x

f (x) = ln (x) -5+ x

f(x) = x^2 -10x +23

let f(x) =x^2-x +2

a) find the Newton- Raphson formula Pk= g (Pk-1)

b) start with P0= 1.5 and find P1, P2 and P3

Let f (x) = (x-2)^4

a) find the Newton- Raphson formula Pk = g(Pk-1)

b) start with p0 = 2.1 and find P1, P2 and P3

c) is the sequence converging quadratically or linearly?