The expression x/1 + ax 2 is to be used as an approximation to 1/2ln[(1 + x)/(1

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The expression x/1 + ax2 is to be used as an approximation to 1/2ln[(1 + x)/(1 – x)] on –1  Show that

- + n ( 1 + x) In - =-(+a)x-(-a)x5 - (+a)x + ... X 1 + ax

for |x|5. Draw on the same diagram the graphs of

y = { ln(| n (1+x). In and y= 3x 3-x y=x + x for 0  x  1

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