1.For k>0 and A⊂R,let kA={kx:x∈A}.Show that m^* (kA)=km^* (A) and A is measurable if and only if kA is measurable.

2.For A⊂R let –A={-x:x∈A}.Show that m^* (A)=m^* (-A) and A is measurable if and only if -A is measurable.

3.Show that the sequence {f_n} where f_n=nxe^(-nx^2 ) for n=1,2,3,… converges pointwise in [0,1].Is the convergence uniform?Justify.