Find asymptotes of ( 2 x ) / ( x − 1 ) 2 What are the asymptotes of 2 x ( x − 1 ) 2 ? I have problems already on domain.

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Find asymptotes of   (  2  x  )      /    (  x  −  1      )    2  What are the asymptotes of            2      x              (      x      −      1              )        2            ? I have problems already on domain.

matracavade · Accepted Answer

Asymptote: y=ax+b.      lim          x      →      ∞            [                            2          x                                      (            x            −            1            )                                2                                −    a    x    −    b    ]    =  0    ,        lim          x      →      ∞            {    x          [                        2                                    (              x              −              1              )                                      2                                          −      a      −                        b          x                    ]        }    =  0      lim          x      →      ∞            [                  2                              (            x            −            1            )                                2                                −    a    −                  b        x              ]    =  0    ⟹    a  =  0      lim          x      →      ∞            [                            2          x                                      (            x            −            1            )                                2                                −    b    ]    =  0    ⟹    b  =  0Asymptote:y=0

Jazmin Booker · Accepted Answer

So   f  (  x  )  =            2      x              (      x      −      1              )        2            . Here you horizontal asymptote will be found by taking the lim as   →  ∞, which should be 0. And your veritval asymptotes will be where the denominator vanishes (i.e when   (  x  −  1      )    2    =  0.

Find asymptotes of (2x)/(x−1)^2 What are the asymptotes of 2x/(x−1)^2 ? I have problems already on domain.

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