`lim_(n- gtoo) sum_(n=1)^ntan^(- 1)((2r+1)/(r^4+2r^3+r^2+1))` is equal to

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ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12 ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
Let Sk =sum( r=1 , r=n ) tan ^-1 ( 6^r/( 2^2r+1 + 3^2r+1) , then lim(k infinity) Sk is equal to Let Sk =sum( r=1 , r=n ) tan ^-1 ( 6^r/( 2^2r+1 + 3^2r+1) , then lim(k infinity) Sk is equal to
Limit where n tends to ♾️ tan {Summation of r=1 to n tan^-1 (1/1+r+r^2)} is equal to: Limit where n tends to ♾️ tan {Summation of r=1 to n tan^-1 (1/1+r+r^2)} is equal to:
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lim n tends to infinity Sum r=1 to n tan^-1(2×3^r-1/1+3^2r-1) lim n tends to infinity Sum r=1 to n tan^-1(2×3^r-1/1+3^2r-1)
Let Sk = Summation of r=1 to k tan^-1 (6^r/ 2^2r+1 + 3^2r+1). Then Lim k tends to infinity Sk = ? Let Sk = Summation of r=1 to k tan^-1 (6^r/ 2^2r+1 + 3^2r+1). Then Lim k tends to infinity Sk = ?
Let `lim_(n-gtoo)sum_(k=1)^n(lambdak^4+2k^3+k^2+k+1)/(3n^5+n^2+n+5k)=1/3` then `lambda` is Let `lim_(n-gtoo)sum_(k=1)^n(lambdak^4+2k^3+k^2+k+1)/(3n^5+n^2+n+5k)=1/3` then `lambda` is