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Table 1 Comparison between inequalities ( 3.15 ) and ( 4.2 )

From: Padé approximant related to the Wallis formula

n

\(\boldsymbol {a_{n}-\delta_{n}}\)

\(\boldsymbol {\omega_{n}-b_{n}}\)

1

6.673798 × 10−3

3.789512 × 10−3

10

2.264856 × 10−13

9.947434 × 10−12

100

2.398663 × 10−24

1.051407 × 10−20

1,000

2.408054 × 10−35

1.056218 × 10−29

10,000

2.408948 × 10−46

1.056690 × 10−38