Asked by Michael Borne

Iterate to find the solution to the function f(X)=√5/x+3 when x⌄0=2. Round to three decimal places as you calculate.

An approximate solution by iteration is 2.265.
An approximate solution by iteration is 2.282.
An approximate solution by iteration is 2.279.
An approximate solution by iteration is 2.

Answers

Answered by oobleck
if x⌄0=2 your first guess x<sub><sub>0</sub></sub>=2 then
there is no solution, since y=0 is the horizontal asymptote
since 1/(x+3) is never zero, now is 1/x + 3
so fix your f(x) and then maybe we can get somewhere

if by solution you mean f(x) = 0
apparently you found something to iterate that approaches 2 as its limit...
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