7. The Taylor series centred at :1: = U for f(::') = ln(1 + 1:) is given by 00 _1 \"1011 111(1 | 3:) = Z ().r n n=1 What degree Taylor polynomial would we need to use to approximate f (0.5) = ln(1.5) with an error bound less than 0.01? (Hint: You can use Taylor's Remainder Theorem or another approach that applies for alternating series.)