Question

Let f:[a,b]→R be a continuous function. Let ϵ>0 be a constant. For x∈[a+ϵ,b−ϵ], define g(x):=12ϵ∫x+ϵx−ϵf

c. Find g for f(x):=|x| ϵ=1 (You can assume that [a,b] is large enough)

Answer 1

@wio , @freckles