Answer :


F(x)=h(x)+g(x)


Solving for h(x)


. h(x) is continuous in [0,4]



here h=4/n









=8


Now solving for g(x)


g(x) is continuous in [0,4]



here h=4/n







Which is g.p with common ratio e1/n


Whose sum is






As h=4/n



=(e8-1)


Now for f(x)=h(x)+g(x)


=8+ e8-1

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