* 2. Determine the limit of the following sequences and whether or not the convergence is...

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* 2. Determine the limit of the following sequences and whether or not the convergence is uniform on I: (a). fn (2) = cos(nx) x I = R. (1) (b). fn (2) = nxe (c). -nx x = I = [0, 1]. fn (2) -nx = nxe ' x I = [1, +). 3: (d). fn(2)= nx2 1 + nx " x = I = [0,2]. (4) * 2. Determine the limit of the following sequences and whether or not the convergence is uniform on I: (a). fn (2) = cos(nx) x I = R. (1) (b). fn (2) = nxe (c). -nx x = I = [0, 1]. fn (2) -nx = nxe ' x I = [1, +). 3: (d). fn(2)= nx2 1 + nx " x = I = [0,2]. (4)