" 23.Find the sum of "1+(1+b)r+(1+b+b^(2))r^(2)+....+oo." (U.P."1979

Find the sum : sum_(r=1)^n1/((a r+b)(a r+a+b))

Find the sum sum_(r =1)^(oo) tan^(-1) ((2(2r -1))/(4 + r^(2) (r^(2) -2r + 1)))

Find the sum sum_(r =1)^(oo) tan^(-1) ((2(2r -1))/(4 + r^(2) (r^(2) -2r + 1)))

Find the sum sum_(r =1)^(oo) tan^(-1) ((2(2r -1))/(4 + r^(2) (r^(2) -2r + 1)))

Find the sum sum_(r =1)^(oo) tan^(-1) ((2(2r -1))/(4 + r^(2) (r^(2) -2r + 1)))

If S_(p) denotes the sum of the series 1+r^(p)+r^(2p)+... to oo and s_(p) the sum of the series 1-r^(2p)r^(3p)+...*to oo,|r|<1, then S_(p)+s_(p) in term of S_(2p) is 2S_(2p) b.0 c.(1)/(2)S_(2p) d.-(1)/(2)S_(2p)

Find the sum sum_(r=1)^n1/((a r+b)(a r+a+b))dot

Find the sum sum_(r=1)^n1/((a r+b)(a r+a+b))dot

Find sum_(r=1)^oo (-8) (-1/2)^r

Find: sum_(r=1)^oo (-8) (-1/2)^r