Which of the following statements is/are FALSE? (i) The error we get by using…
2022
Which of the following statements is/are FALSE?
(i) The error we get by using finite arithmetic during a computation is called rounding error.
(ii) The error we get by stopping an infinitary process after a finite point is called truncation error.
- A.
Only (i)
- B.
Only (ii)
- C.
Both (i) and (ii)
- D.
Neither (i) nor (ii)
Attempted by 4 students.
Show answer & explanation
Correct answer: D
Step 1: Analyze statement (i).
Finite arithmetic limits precision, and the resulting error is indeed called rounding error. This is a true statement.
Step 2: Analyze statement (ii).
Approximating an infinite process (like a Taylor series) by stopping at a finite term creates truncation error. This is also a true statement.
Step 3: Conclude.
Since the question asks to identify the FALSE statement(s), and both (i) and (ii) are true, the correct choice is "Neither (i) nor (ii)".
Final Answer: Option D