Let fn(x) be the following sequence (not series) of functions n2 fn(x) : (x2 + 7x + 6)n² +n (1) Is fn(x) convergent at x = 0? Why? (2) Is fn(x) convergent at x = (3) For what x is fn(x) convergent and for what x is it divergent? (4) What's the limit function -1? Why? f(x) = lim fn(x), and what's the domain of f according to your answer in the previous part?

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