Problem Seven (6 pts): Given that for [2] <1, 112. = m-ox": • (3pts) Using the fact that In(1+2) = | Show that In(1+x) =
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Problem Seven (6 pts): Given that for [2] <1, 112. = m-ox": • (3pts) Using the fact that In(1+2) = | Show that In(1+x) =
Problem Seven (6 pts): Given that for [2] <1, 112. = m-ox": • (3pts) Using the fact that In(1+2) = | Show that In(1+x) = 2m=(-1) 2277 dx Vieste site de 1+2 n+1 int S = (-1)^. x+ nt! - SE 1+ Go 1 + + + 人, 2 3 45 az n Sz=1+2/3 Sal S2 = 14 S4=1+3/4 1 / 2 =314 (3pts) Find the radius and interval of convergence of the above power series representation of In(1 + x). Don't forget end points!
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