8. Find the best linear approximation for ln x which is tangent to the graph of the function when x = 1. Use this to approximate ln 1.05. Check your answer with a calculator.
The formula for the best linear approximation to y = f(x) at a point where x = a is
If f(x) = ln x and a = 1, we get
To use this to approximate ln 1.05,
According to a calculator