यदि `S_(n)(x) =x/(x+1) +x^(2)/((x+1)(x^(2)+1)) +....+ x^(2^(n))/((x+1)(x^(2)+1)...(x^(2^(n))+1))` तथा `x gt 1, lim_(n to infty) S_(n)(x) =l`
`g(x) ={{:((sqrt(ax+b)-1)/x, x ne 0),(1, x =0):}`
`h: R to R , h(x) =x^(9) -6x^(8) -2x^(7) + 12x^(6) + x^(4) - 7x^(3) + 6x^(2) + x-7`
यदि `g(x),x=0` पर संतत है, तो `g'(0)` बराबर है-

Options

A. l
B. `(h(6))/2`
C. `a-2b`
D. विद्यमान नहीं है

Answer

B