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[" If "sum(k=1)^(m)(k^(2)+1)k!=1999(2000...

[" If "sum_(k=1)^(m)(k^(2)+1)k!=1999(2000!)],[m" is "]

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If sum_(k=1)^(m)(k^(2)+1)k!=1999(2000!), then m is

sum_(k=0)^(5)(-1)^(k)2k

sum_(k=1)^(2n+1)(-1)^(k-1)k^(2)=

sum_(k=1)^(2n+1) (-1)^(k-1) k^2 =

sum_(k =1)^(n) k(1 + 1/n)^(k -1) =

Find sum_(k=1)^(n)(1)/(k(k+1)) .

Find the value of lim_(n rarr oo)sum_(k=1)^(n)(k^(2)+k-1)/((k+1)!) .