Motivation of measure Problems of Riemann Integral 1. ask too much for a function - should be continous everywhere in general 2. even if it can be integrable the limit of a sequence of integral of functions may not be equal to the integral of the limit of function sequence Why?-the function value of dx may be unstable (See next slidesMotivation of Measure • Problems of Riemann Integral • 1. ask too much for a function – should be continous everywhere in general • 2. even if it can be integrable, the limit of a sequence of integral of functions may not be equal to the integral of the limit of function sequence. • Why? – the function value of dx may be unstable • (See next slides)