Consider a lti system with inputx(t) and outputy(t) described byy(t) =1a(x(t)−x(t−)(a) find the impulse response, h(t), of this system.(b) express the output of this system, y(t), in terms of the inputx(t) asa→0+.(c) find the frequency transfer function, h(jω), of this system. findh(jω)) in the limit asa→0+.note: ez=∑[infinity]n=0znn! and thus lim|z|→0ez= 1 +z.