Find the local linear approximation of the function f(x)=\sqrt{2+x} at \small{x_0=2} , and use it to approximate \sqrt{3.9} and \sqrt{4.1} .

(a)

(b)

(c)

For parts (b) and (c), you should enter your answer as a fraction. If you enter a decimal, make sure that it is correct to at least six decimal places.

You can earn partial credit on this problem.