Q2: Consider the following infinite series. f(n) ΣΑΣ [ h(n) = Σ 1/1 n=0 n=0 g(n) (a) If the series converges, what can you say about the relationship between f(n) and g(n)? (b) If the series diverges, what can you say about the relationship between f(n) and g(n)? Hint: You may specify the functions: f(n) = x" and g(k) = xk. What is the relationship between n and k?

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