... x) = lim The right-endpoint Riemann sum is n a Let c be in ( a, b ) Then G '(c) = f (c) by the x →b − Thus b lim G ( x) = = ∫ f (t ) dt = G (b) x →b − b Therefore, G is left-continuous at x =... 3n + 2n i =1 2n + 3n + n = ∑ i2 i =1 n ( n + 1)( 2n + 1) n n = ∑ i2 i =1 Instructor’s Resource Manual Section 4.1 251 © 2007 Pearson Education, Inc., Upper Saddle River, NJ All rights reserved... ⎝ ⎠ ⎝ ⎠ ⎝ ⎠ 7 ⎠ ⎝ ⎠ ⎝ ⎠ ⎝ ⎣ 2 2 2 2⎤ 608 ⎥ = ≈ 12.4 49 ⎥⎦ 252 Section 4.1 Instructor’s Resource Manual © 2007 Pearson Education, Inc., Upper Saddle River, NJ All rights reserved This material