Consider the following sequences of functions with the indicated domains. Does the sequence converge? If so, to

Question:

Consider the following sequences of functions with the indicated domains. Does the sequence converge? If so, to what? Is the convergence uniform? Is it bounded? If not bounded, is it dominated? Is it monotone? Evaluate the limit of the sequence of integrals.
(a) kx/1 + kx [0, 1].
(b) xk/1 + xk [0, 2].
(c) 1/1 + xk [0, 1].
(d) 1/1 + xk [0, 2].