k

Forward computation

GCF based solution

Exact solution

0

1

1

1

1

0.333333

0.3333

0.3333

2

0.111111

0.1111

0.1111

3

0.03704

0.03704

0.03704

4

0.01235

0.01235

0.01235

5

0.004115

0.004115

0.004115

6

0.001372

0.001372

0.001372

7

$4.572\times {10}^{-4}$

$4.572\times {10}^{-4}$

$4.572\times {10}^{-4}$

8

$1.524\times {10}^{-4}$

$1.524\times {10}^{-4}$

$1.524\times {10}^{-4}$

10

$1.694\times {10}^{-5}$

$1.694\times {10}^{-5}$

$1.694\times {10}^{-5}$

12

$1.882\times {10}^{-6}$

$1.882\times {10}^{-6}$

$1.882\times {10}^{-6}$

15

$6.969\times {10}^{-8}$

$6.969\times {10}^{-8}$

$6.969\times {10}^{-8}$

20

$2.868\times {10}^{-10}$

$2.868\times {10}^{-10}$

$2.868\times {10}^{-10}$

25

$1.180\times {10}^{-12}$

$1.180\times {10}^{-12}$

$1.180\times {10}^{-12}$

30

$4.870\times {10}^{-15}$

$4.857\times {10}^{-15}$

$4.857\times {10}^{-15}$

40

$1.312\times {10}^{-17}$

$8.225\times {10}^{-20}$

$8.225\times {10}^{-20}$

50

$1.304\times {10}^{-17}$

$1.393\times {10}^{-24}$

$1.393\times {10}^{-24}$

90

$1.304\times {10}^{-17}$

$1.146\times {10}^{-43}$

$1.146\times {10}^{-43}$