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9. [-/1.04 Points] DETAILS SCALCET9 2.XP.5.003. 0/2 Submissions Used Use the definition of continuity and the properties of limits to show that the function is

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9. [-/1.04 Points] DETAILS SCALCET9 2.XP.5.003. 0/2 Submissions Used Use the definition of continuity and the properties of limits to show that the function is continuous at the given number a. f( x ) = ( x + 4x5 ), a = -1 lim f(x) = lim X- -1' X--1 lim x - - 1 by the power law = lim (x) + lim X - - 1 by the sum law lim (x) + x- -1 lim (x 5) ) by the multiple constant law (-1 + by the direct substitution property Find f(-1). f ( - 1 ) = Thus, by the definition of continuity, fis continuous at a = = 1. 10. [/1.04 Points] DETAILS SCALCET9 7

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