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(15^(40))/(100) find R....

`(15^(40))/(100)` find R.

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Let f be a real valued function defined on R (the set of all real numbers) such that f(1)=f(-1)=5 and whose graph of f is symmetrical with respect to the lines x=+-1. Given sum_(r=50)^(99)f((r)/(100)) and sum_(r=50)^(150)f((-r)/(100))=5. If S=sum_(r=50)^(150)f((r)/(100))+sum_(r=50)^(150)f((-r)/(100)). Then find S .

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