We seek an upper bound for the error of approximation of the series by the partial sum of its 7 first terms What is the right estimate? The error is n=8 1 n4 The error is iM8 n=7 1 n4 VI The error is M8 n= 00 1 1 dx = 24 3.83° VI The error is ∞ n=8 n4 О VI 1 1 dx = x4 3.63 00 1 1 dx 3.73 ∞ 1 24 1 dx 3.73 IM IM n=1 1 n4 -17