H(x)=(8/(x−2)) and f(x)=((x^2 +3x+6)/(2x−4))
1)Calculate the surface V_n of
area limited by the the line
x=6; x=6+n (n∈N^∗ ) and the
curve of H(x) and f(x) in function
of n.
2) Knowing that 1^2 +2^2 +...+n^2 =((n(n+1)(2n+1))/6)
Deduct the value of
S_n =V_1 +V_2 +...+V_(n ) in funtion
of n .
3) Determinate the smallest
integer n such that S_n >100