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(n! ) 2 Exercise 1. Investigate monotonicity of the sequence a, = n = 1,2,... (2n)!' Exercise 2. Find limits of the following sequences: a,

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(n! ) 2 Exercise 1. Investigate monotonicity of the sequence a, = n = 1,2,... (2n)!' Exercise 2. Find limits of the following sequences: a, b , = 2n2 - sin- (n!) 1-5n + 3n2 Exercise 3. Find limits of the following sequences: 2n 4 a, = V2-cos b. = n n - Vn- -3n+ 2 Exercise 4. Find limits of the following sequences: 7n2 -1 5n -2 a = b, = 7n- +5 5n -4

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