# Given $\large\frac{1}{1^4}+\large\frac{1}{2^4}+\large\frac{1}{3^4}$+.....$\infty$ = $\large\frac{{\pi}^{4}}{90}$, then the value of $\large\frac{1}{1^4}+\large\frac{1}{3^4}+\large\frac{1}{5^4}$+....$\infty$ is
$(a)\;\large\frac{{\pi}^{4}}{45}\qquad(b)\;\large\frac{{\pi}^{4}}{180}\qquad(c)\;\large\frac{{\pi}^{4}}{96}\qquad(d)\;\large\frac{89{\pi}^{4}}{90}$