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solve this 19. Given that = > then a power series for 2 can be written as (A) E(-1) (3) 22 (2) (8) (E) 24

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solve this

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19. Given that = >" then a power series for 2 can be written as (A) E(-1) (3)" 22 (2)" (8) (E) 24 (=)" (6) 20. A Taylor series centred on a = 5 for the function f (x) = esx is (A) 25 5(x 27(2 - 5)" (B) 25 5" an! ( 2 )n (C) e5 52 n=0 ' (D) 25 5" An!( * - 5)" 0 would be (E) 5" - ni (* - 5)" 21. For what values of r does the series Ina + (In(x) ) + (In(x))3 + (In(x))+ ...con- verge? (A ) O

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