Find (i) Δe^ax
(ii) Δ²e^x
(iii) Δ log x

Evaluate \({ \Delta }^{ 2 }\left( \frac { 1 }{ x } \right) \) by taking ‘1’ as the interval of differencing.

If f (x) = e^ax then show that f(0), Δf(0), Δ²f(0) are in G.P

Prove that 
(1 + Δ)(1 - ∇) = 1

Prove that
∇Δ = Δ -  ∇