A sequence of real numbers {B(m)} is such that:

B(1) = 1, B(2) = 2, and:

B(m+1) = 1 + B(1)*B(2)*…..*B(m), whenever m ≥ 2

Evaluate:

Limit  (1/B(1) + 1/B(2) + ……+ 1/B(t))
t → ∞