Find a formula for the error E(x) in the tangent line approximation to the function f(x)=ex^(−4) near x=a=4
E(x) = ????
Then fill in the following table of values for E(x)/(x−a) near x=a
When x = 4.1, E(x)/(x-a) = ???
When x = 4.01 " " = ???
When x = 4.001 " " = ???
Using your table, find a value of k such that E(x)/(x−a) = k(x−a).
k= ????
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Verified answer
k=10^-n with n number of zeros before 1 for x
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