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  3. the function f:(-1,1)tor dfined by f(x)=x/(1-x^2)

the function F:(-1,1)toR dfined by F(x)=x/(1-x^2) is homeomorphism in a topology.. please explain the answer for me

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Advance Math

the function F:(-1,1)toR dfined by F(x)=x/(1-x^2) ishomeomorphism in a topology..

please explain the answer for me

Answer & Explanation Solved by verified expert
4.4 Ratings (993 Votes)
Now for surjectivenessSince f1h fc f1 hwhere h tends to zeroAs we know any bijective    See Answer
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