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The value of ((Delta^(2))/(E))x^(3) at...

The value of ` ((Delta^(2))/(E))x^(3)` at h=1 is

A

8x

B

6x

C

`5x^(2)`

D

`6x^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`((Delta_(2))/E)x^(3)=(((E-1)^(2))/(E))x^(3)`
`=((E^(2)-2E+1)/(E))x^(3)`
`=E(x^(3))-2x^(3)+E^(-1)(x^(3))`
`=(x+1)^(3)-2x^(3)+(x-1)^(3)`
`=x^(3)+1+3x^(2)+3x-2x^(3)+x^(3)-1-3x^(2)+3x`
`=6x`
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