If , what is the truncation error for S3? 0.610 0.774 1.476 1.640
ANSWER: D

The truncation error for S3 is 1.640
The correct option is (D)
Truncation error is the difference between a truncated value and the actual value.
Given:
[tex]\sum[/tex](1/4)(9/10)^n = 2.25
For S3, put n= 1 to 3
9/40 + 81/400 + 729/4000
= 900+810+7290/4000
=2439/4000
=0.60975
So, Truncation error= 2.25- 0.60975= 1.64025
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