Plz some one help!!!
Part a: Constract an infinitely differentiable function which vanishes outside a given finite interval [a,b].
Hint: Consider this function \[g(x) = e ^{-1/x ^{2}} \] if x>0
and 0 for x<=0
Part b: Constract a infinitely differentiable function which is 0 forx<=a and 1 for x>=b (a

Mathematics
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