Determine the linear approximation, L(x), of the function g(x)=ln
x^(3 )
at x=
e^(-2)
, then use a graphing calculator to determine the interval on which L(x) approximates the value of g(x) within 0.5 of the actual value (please round decimals to 3 decimal places).

Question

Determine the linear approximation, L(x), of the function g(x)=ln

x^(3 )

at x=

e^(-2)

, then use a graphing calculator to determine the interval on which L(x) approximates the value of g(x) within 0.5 of the actual value (please round decimals to 3 decimal places).

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