If μ is an averaging operator and δⁿ is the nth central difference operator, then what is the value of μ²?

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Correct answer: (A)
Explanation
μ = ½(E^½ + E^−½) and δ = E^½ − E^−½. Then μ² = ¼(E + 2 + E⁻¹) = ¼(δ² + 4).

Correct answer: (A)
Explanation
μ = ½(E^½ + E^−½) and δ = E^½ − E^−½. Then μ² = ¼(E + 2 + E⁻¹) = ¼(δ² + 4).
This is question 187 of DSSSB TGT Computer Science PYQ, 24 Jun 2023, Shift 3 (4:30 PM). See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.