Question

Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to within 0.1. (Enter your answer using interval notation. Round your answers to three decimal places).
ln(1 + x) ≈ x

Answer 1

We are asked to evaluate the equation ln (1+x) = x.In this case, we can raise both sides exponentially to 1 + x = e^x.  In this case, the obvious answer would be zero. That is 1 = 1 which is a valid statement. The answer therefore to this problem is equal to zero