14. The shift operator E and the differential oper-
ator D are related by
(a) E=e
hD
(b) E+ 1 =e
hD
(c) E− 1 =e
hD
(d) E
−1
=e
hD
Ans: (a)
15. If the interval of differencing is unity then Δ
3
(1 −x) (1 −3x) (1 − 5x) =
(a) −60 (b) −90
(c) −50 (d) −75 Ans: (b)
=
⎡⎤
⎛⎞
Δ==
⎢⎥
⎜⎟
⎝⎠
⎢⎥
⎣⎦
∑
0
!;here 1.
n
nrn
nn
r
axanh
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