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$If it is given that \frac{1}{1^{4}} + \frac{1}{2^{4}} + \frac{1}{3^{4}} + \dots \infty is \frac{π^{4}}{90} then the value of \frac{1}{1^{4}} + \frac{1}{3^{4}} + \frac{1}{5^{4}} + \dots \infty$

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Correct option is A

let x=114+134+154+...∞given equation is =π490=114+134+154+…+124114+124+134+…π490=x+116⋅π490x=π4901−116=π490×1516=π496

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If it is given that 114+124+134+…∞ is π490 then the value of 114+134+154+…∞

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$If it is given that \frac{1}{1^{4}} + \frac{1}{2^{4}} + \frac{1}{3^{4}} + \dots \infty is \frac{π^{4}}{90} then the value of \frac{1}{1^{4}} + \frac{1}{3^{4}} + \frac{1}{5^{4}} + \dots \infty$