[ Entered ' Answer Preview ' Result 2 3 6*[1-(X+1)+([(X+1)"2]/(2!))-([(X+1)A3]/(3!})] e(1 (x +1)+ W %) The answer above is NOT correct. 3: (1 point) Use sigma notation to write the Taylor series about x = x0 for the function. e' , x0 = 1. N Taylor series = z ' e[1(x+1)+(x+1)'\\2/2! -(x+1)A3 13!] ' k=0 00 (1 point) Write the Taylor series for f (x) = (9" about x = 2 as z c\" (x 2)". n=0 Find the first five coefficients. 00 (1 point) Write the Taylor series for f (x) = x3 about at = 3 as Z c\" (x + 3)". n=0 Find the first five coefficients. (1 point) Consider the function f(x) = Vx I. Let Tn be the 11\"\" degree Taylor approximation of f (10) about 3: = 8. Find: T1 = :r2 = T3 = Use 3 decimal places in your answer The answer above is NOT correct. (1 point) How long will it take an investment to triple in value if the interest rate is 7% compounded continuously? Answer: ' 4 years. (1 point) How many years would it take your money to double: (a) At 10% interest compounded yearly. years. (b) At 10% interest compounded weekly. years and weeks. (c) At 10% interest compounded continuously. years