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10 cards from this deck
Approximate solutions to f(x) = 0
xn+1=xn−f(xn)f′(xn)x_{n+1} = x_n - \frac{f(x_n)}{f'(x_n)}xn+1=xn−f′(xn)f(xn)
Must not equal zero
Tangent lines
x0x_0x0
Improved/next approximation
Typically very fast
Sequence bouncing between values, never converging
Tangent horizontal; method terminates
Choice of starting point
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