The function, is defined by
Show that the equation can be written in the form
On the same diagram sketch the graphs of and .
The equation has a root, α, close to .
The iterative formula xn+1=e-xn+1 with x0=2 is to be used to find correct to three significant figures.
Show, using a diagram and your answer to part (b), that this formula and initial x value will converge to the root α.
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