Solve by fixed point iteration and answer related questions where indicated Show details A partial sum of the Maclaurin series of J 0 (x) (Sec 5 5) is f(x) 1 1 4x 2 1 64x 4 1 2304x 6 Conclude from a sketch that f(x) 0 near x 2 Write f(x) 0 as x g(x) (by dividing f(x) by 1 4x and taking the resultin...

Find the zero by means of a new method suggested by Sec 84 First find the first half of the partia ...

Solve by fixed-point iteration and answer related questions where indicated. Show details. A partial sum of the

Question:

Solve by fixed-point iteration and answer related questions where indicated. Show details.

A partial sum of the Maclaurin series of J₀(x) (Sec. 5.5) is f(x) = 1 - 1/4x² + 1/64x⁴ - 1/2304x⁶. Conclude from a sketch that f(x) = 0 near x = 2. Write f(x) = 0 as x = g(x) (by dividing f(x) by 1/4x and taking the resulting x-term to the other side). Find the zero. (See Sec. 12.10 for the importance of these zeros.)

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