Question

If $\Delta$ and $\nabla$ be the first forward difference and first backward difference operator respectively, then the expression $(1+\Delta)(1-\nabla)$ is equivalent to :

• A. 0
• B. 1
• C. $-1$
• D. 2

Hint:

Using the shift operator $E$ as a bridge is the most efficient way to prove or simplify any relationship involving $\Delta$, $\nabla$, or average operators.

Answer 1

The Correct Option is B