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Question

If x is nearly equal to 1, then mxmnxnmn=

A
xm+n
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B
xmn
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C
xm
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D
xn
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Solution

The correct option is A xm+n
Since x is nearly equal to one
Let x=1+h
h<<<1 ------(i)
Substituting in the equation we get

mxmnxnmn

=m(1+h)mn(1+h)nmn

=m(1+mh)n(1+nh)mn ------since h<<<1

=mn+(m2n2)hmn

=1+(m2n2)hmn

=1+(m+n)h

=(1+h)m+n

=xm+n

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