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if the real valued function f(x)={(a)^x -1}/{(x^n)(a^x+1)} is even then n equals

if the real valued function f(x)={(a)^x -1}/{(x^n)(a^x+1)} is even then n equals

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1 Answers

vikas askiitian expert
509 Points
10 years ago

f(x) = {ax - 1}/{xn(ax + 1)}     ......................1

f(-x) = {a-x - 1}/{(-x)n(a-x + 1}

f(-x) = {1-ax}/{xn(1 + ax)}(-1)n           

f(-x) = {-1/(-1)n} {f(x)}         ...................2 

f(x) is even function if f(x) = f(-x)

for this condition -1/(-1)n should be 1

n = 1 , 3 , 5 .........

n should be odd integer

......

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