Find the quadratic polynomial g ( x ) = ax^2 + bx + c which best fits the function f ( x ) = e^x at x = 0 , in the sense that

g (0) = f (0), and g ′(0) = f ′(0), and g ′′(0) = f ′′(0) .

I know that e^0 = 1 ,and ax^2 +bx is zero when x is zero , so c has to give me a value of one , but how can I represent that? any help would appreciated!!