Suppose that as x approaches zero, F1(x) = L1 + O(x) and F2(x) = L2 + O(x ). Let c1 and
Chapter 1, Problem 15(choose chapter or problem)
Suppose that as x approaches zero, F1(x) = L1 + O(x) and F2(x) = L2 + O(x ). Let c1 and c2 be nonzero constants, and define F(x) = c1F1(x) + c2F2(x) and G(x) = F1(c1x) + F2(c2x). Show that if = minimum {, }, then as x approaches zero, a. F(x) = c1L1 + c2L2 + O(x ) b. G(x) = L1 + L2 + O(x ).
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