Root Finding
Theorem If a function f is continuous on an inteval [a,b] and if f changes sign on that interval, then it must have a root in [a,b].
Leet's approximate the square root of 2. Put f(x) = x2 = 2. f changes sign on [1,2]
Theorem If a function f is continuous on an inteval [a,b] and if f changes sign on that interval, then it must have a root in [a,b].
Leet's approximate the square root of 2. Put f(x) = x2 = 2. f changes sign on [1,2]