# Theorem: Convergence of Newton’s Method

**Tutor description**

F ϵ C2 [a,b], Ǝ r ϵ [a,b], for which f(r)=0, and f’(r)≠0; then Ǝ δ>0, such that ɏ r0 ϵ [r-δ,r+δ] The Newton’s sequence will converge to r..Secant Method From r = r_0 – (f(r_0))/(f’(r_0))

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