Question: Let f be a function with domain R. Is each of the following claims true or false? If it is false, show it with a

Let f be a function with domain R. Is each of the following claims true or false? If it is false, show it with a counterexample. If it is true, prove it directly from the formal definition of a limit.

(a) If Limt f (x) = o then Limt sin (f (x)) does not exist. (b) If f (-1) = 0 and f (1) = 2 then Limt f(sin(x)) does not

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