(a) Experiment with (14) for integer n Using graphs, find out from which x x n on the curves of (11) and (14) practically coincide How does x n change with n (b) What happens in (b) if n 1 2 (Our usual notation in this case would be v ) (c) How does the error of (14) behave as a function of x for fixed n Error exact value minus approximation (14) (d) Show from the graphs that J 0 (x) has extrema where J 1 (x) 0 Which formula proves this Find further relations between zeros and extrema

Question: (a) Experiment with (14) for integer n. Using graphs, find out from which x = x n on the curves of (11) and (14) practically

(a) Experiment with (14) for integer n. Using graphs, find out from which x = x_n on the curves of (11) and (14) practically coincide. How does x_n change with n?

(b) What happens in (b) if n = ±1/2? (Our usual notation in this case would be v.)

(d) Show from the graphs that J₀(x) has extrema where J₁(x) = 0. Which formula proves this? Find further relations between zeros and extrema.

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