Use the linearization approximation (1+x)^k=1+kx to find an approximation for the function f(x)=(1/square root of 4+x) for values of x near zero.

Answer 1

f(x)=(4+x)^1/2= 2(1+x/4)^1/2=2(1+x/8)

check that.

Answer 2

It should be ^-1/2