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G Question 29, 3.8.102 HW E Homework: Assignment 3 Part 2 of 3 O on Play Show that lim 1+ = ex for any x

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G Question 29, 3.8.102 HW E Homework: Assignment 3 Part 2 of 3 O on Play Show that lim 1+ = ex for any x > 0. 1-+0o and sible " lim ( 1 + c) C -+ 00 ase OP. lim (1 + c) C-+00 nuni What limit laws and/or definitions are needed to prove that the result from the previous step is equal to e"? Select all that apply. A. The Root Rule; If lim f(x) = L, then lim Vf(x) = VL, n a positive integer. X - C X -+ C B. e = lim (1 +x) 1/x X-0 [c. The Sum Rule; If lim f(x) = L and lim g(x) = M, then lim (f(x) + g(x)) = L +M. X - C X - C X - C D. The Power Rule; If lim f(x) =L, then lim [f(x)]" = L" , n a positive integer. X - c X - C Textbook Ask my instructor

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