In the following exercises, use one of the comparison tests. Show and explain your work. (a)...

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In the following exercises, use one of the comparison tests. Show and explain your work. (a) Calculate the limit lim x0 1 - cos x x2 and use it to find out whether - COS [1 [1 cos()] converges or n=1 diverges. (b) Calculate the limit lim x0 In(1 + x) X and use it to find out whether In (1 + 1/1) converges or diverges. n=1 n In the following exercises, use one of the comparison tests. Show and explain your work. (a) Calculate the limit lim x0 1 - cos x x2 and use it to find out whether - COS [1 [1 cos()] converges or n=1 diverges. (b) Calculate the limit lim x0 In(1 + x) X and use it to find out whether In (1 + 1/1) converges or diverges. n=1 n