Math, asked by madhu599, 1 year ago

show that.
as soon as possible

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Answered by sachintanotra
0

Answer:


Step-by-step explanation:


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Answered by Anonymous
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1 / { 1 + x^( a - b )} + 1 / { 1 + x^(b - a )} = 1

LHS = 1 / { 1 + x^( a - b )} + 1 / { 1 + x^-( a - b )}

=> 1 / { 1 + x^( a - b )} + 1 / { 1 + 1 / x^( a- b )}

=>[ 1 / { 1 + x^( a - b )}] + [ 1 / { x^ (a - b ) + 1 } / x^( a - b ) ]

=> [ 1 / { 1 + x^( a - b )}] + [ x^ ( a - b ) / x^ ( a - b ) +1 ]

=> [ 1 + x^ ( a - b ) ] / [ 1 + x^ ( a - b )]

=> 1

=> R. H. S.

Hence, PROVED.
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