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Identify the functions f and g such that lim f(x) does not exist, lim g(x) does not exist, but lim (f(x) . g(x)) does exist.

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Identify the functions f and g such that lim f(x) does not exist, lim g(x) does not exist, but lim (f(x) . g(x)) does exist. x-+0 X-0 x-+0 Choose the appropriate functions. Of ( x ) = -1, x 0' 8(x) = -1, x 20 Of ( x ) = =, 8(x) = -. 4 X Of (x) = [4x], 8(x) = 14x] Of(x) = [4x], 8(x) = [4x] Of ( x ) = 4, 8(x) = XIdentify the functions f and g such that lim f(x) and lim g(x) do not exist, but lim f(x) does exist. x-0 x-0 x-0 g(x) Choose the appropriate functions. f ( x ) = x + 4, 8(x) = - X Of ( x ) = 4 4 72 ' 8(X) = x+1 Of ( x ) = =, 8(x) = X + x

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