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Math Help - Another help in proving

  1. #1
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    Unhappy Another help in proving

    \frac{1+\tanh{x}}{1-\tanh{x}} = e^{2x}

    HEre...
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by ^_^Engineer_Adam^_^ View Post
    \frac{1+\tanh{x}}{1-\tanh{x}} = e^{2x}

    HEre...
    \frac{1+\tanh{x}}{1-\tanh{x}} = \frac{1+\frac{e^x-e^{-x}}{e^x+e^{-x}}}{1-\frac{e^x-e^{-x}}{e^x+e^{-x}}} <br />
=\frac{ \frac{e^x+e^{-x}+e^x-e^{-x}}{e^x+e^{-x}} }{<br />
\frac{e^x+e^{-x}-e^x+e^{-x}}{e^x+e^{-x}} }<br />
<br />
=\frac{2e^2}{2e^{-x}}=e^{2x}<br />

    RonL
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