Which of the following iterations will converge to the indicated fixed point a (provided xo is chosen sufficiently close to a) if the iteration does converge . For linear convergence, give the rate of the linear convergence. If the iteration does not converge, re-write the iteration in another form so that it does converge (provided x0 sufficiently close to a)

 

a. x_n+1=-16+6x_n    a=2
 

 b. .x_n+1=-2/3x_n + 1/x2n a= 3 1/3 ~ 1.4422

c . . .x_n+1=12/(1+xn) a=3c
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