4. The binomial expansion formula for any exponent k is (1+x)=1+kx + - - k(k − 1) 2k(k − 1)(k − 2) 2! 3! - 3 +.. This is also the Maclaurin series for (1+x). Write out explicitly the third degree expansion with k = 1/3 and then use it to approximate 1.1. (No error estimate is required.) 5. The 5-th degree Taylor polynomial for f(x) about x = 1 is - 1 1 - P(x) = 7 - 8(x − 1) + 17(x − 1)² + + 30 (x − 1)³, = f(x) at a) Find the equation of the tangent line to the curve y x=1. (Do this by inspection!) c) Find f(5)(1). b) Find f"(1).