Series Series 56
Автор: Myers Mathematics
Загружено: 2025-06-29
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Newton's method seeks to approximate a solution f(x)=0 that starts with an initial approximation x_0 and successively defines a sequence x_n+1 = x_n - [f(x_n)]/[f'(x_n)]. For the given choice of f and x_0, write out the formula for x_n+1. If the sequence appears to converge, give an exact formula for the solution x, then identify the limit x accurate to four decimal places and the smallest n such that x_n agrees with x up to four decimal places.
56. [T] f(x)=e^x-2, x_0 = 1
Open Stax, Calculus Volume 2, Section 5.1
This is a series on Series, one of the last topics/sections/units/chapters in Calculus 2. Stay tuned for more! Happy June!
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