For x in (0,pi/4). Let Sn= sum(r=1)^(2n)...

For `x in (0,pi/4).` Let `S_n= sum_(r=1)^(2n) sin(sin^-1 x^(3r-2)),C_n= sum_(r=1)^(2n) cos(cos^-1 x^(3r-1) )and T_n= sum_(r=1)^(2n) tan(tan^-1 x^(3r));` where `n in N and n >= 3.`

For x in (0,pi/4). Let Sn= sum(r=1)^(2n) sin(sin^-1 x^(3r-2)),Cn= sum(...
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Let f(n)=(sum(r=1)^(n)((1)/(r)))/(sum(k=1)^(n)(k)/(2n-2k+1)(2n-k+1))
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(sum(n=1)^(10)int(-2n-1)^(-2n)sin^(27)(x)dx+sum(n=1)^(10)int(2n)^(2n+1...
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Let T(n)=sum(r=1)^(n)((n)/(r^(2)-2rn+2n^(2))),S(n)=sum(r=0)^(n-1)((n)/...
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sum(i=0i0)^(2n)a(r)(x-1)^(r)=sum(r=0)^(2n)b(r)(x-2)^(r) and b(r)=(-1)^...
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Maximum value of sum(n=1)^(3)(cos^(2n)theta+(-1)^(n+1)sin^(2n)theta),A...
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sum(r=0)^(n)((n-3r+1)^(n)C(r))/((n-r+1)2^(r)) is equal to
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Let f(x)=(tan^(n)x)/(sum(r=0)^(2n)tan^(r)x),ll in N, where x in[0,(pi)...
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For x in(0,(pi)/(4)). Let S(n)=sum(r=1)^(2n)sin(sin^(-1)x^(3r-2)),C(n)...
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