Question: 4. Functions are defined via sequence limits. Find the domains of these functions (i.e. all values of x for which the limits do exist) and

4. Functions are defined via sequence limits. Find the domains of these functions (i.e. all values of x for which the limits do exist) and sketch the graphs of these functions. a f(x) = lim (1 -x2); b) g(x) = lim n-+0 n-+00 n2

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