Question: Is it possible that lim () does not exist and lim () does not exist, but lim [() + ()] does exist? Consider the functions

Is it possible that lim () does not exist and lim () does not exist, but lim [() + ()] does exist? Consider the functions () = 1/x and () = 1/.

a. Sketch the graphs of () and () and find their limits (if they exist) as approaches zero.

b. Sketch the graph of [() + ()] and find lim 0 [() + ()].

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