Let Sn=n-2015(1+22014+32014+ ldots ldots .+n2014), then undersetn arrow ∞ textLim Sn is

Question

Let Sn=n-2015(1+22014+32014+ ldots ldots .+n2014), then undersetn arrow ∞ textLim Sn is (A) 1 (B) (1/2014) (C) (1/2015) (D) (2014/2015)

Tardigrade Admin · Accepted Answer

S n = displaystyle∑ i =1 n (1/ n )(( i / n ))2014=∫ limits01 x 2014 dx =(1/2015).

Q. Let $S_{n} = n^{- 2015} (1 + 2^{2014} + 3^{2014} + \dots\dots . + n^{2014})$ , then $n \to \infty Lim S_{n}$ is