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How to solve these 2 different question? (2 marks) Consider the improper integral 0 7 f _d.. 1 +m3 In order to address the convergence/divergence

How to solve these 2 different question?

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(2 marks) Consider the improper integral 0 7 f _d.. 1 +m3 In order to address the convergence/divergence of this integral we will use the comparison test. From the options below, select the appropriate statement to begin the argument. h, We will find a: such that O S m S L for all a: 2 1, to prove that the above improper integral diverges. \\ , 9 9 +z3 ' L +m3 ' r\". We will find 9(3) such that 0 S 9(3) S for all a: 2 1, to prove that the above improper integral converges. rs, We will find 9(1) such that 0 S S g(:) , for all a: 2 1, to prove that the above improper integral diverges. L 5+9? 0 We will find g($) such that O S S 9(a) , for all a: 2 1, to prove that the above improper integral converges. 7 +m3 A suitable expression for g (at) is 9W SIB! ng(w>dw= SIM- ( it the integral diverges please write infinity) where the improper integral ( 2 marks ) Let 5x9 - 24 x sin(x) + 48 x f(x) = and ga = 4x8 +8x+1 Find a value of p so that lim f (a) = L for some 0

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