Excuse me, i'm not a native english speaker (and i thought i read this
mode of speaking somewhere before):

is there an efficient way in sage to find the smallest integer k for
which the inequality

b^(k+1) / (factorial(k) * factorial(k+1)) <= 1

is true (b > 0)

similarly for

b^k / factorial(k) <=1

or, more generally (b, c, d positive constants, c > d)

b^k / (factorial(k) * (k + c - d)^d) <= 1

many thanks in advance, Georg

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