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  1. #1
    Junior Member yuko13224's Avatar
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    Find the limit of tanh x as x approaches infinity. ?

    With steps or explanation. Thanks.

  2. #2
    Junior Member tfizzum4's Avatar
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    Find the graph of tanh x at the following site.

    http://www.mathcentre.ac.uk/resources/leaflets/firstaidkits/3_5.pdf

    You will see that as x approaches +?, the function gets closer and 1. Therefore,

    lim tanh x = 1
    x->?

  3. #3
    Junior Member tfizzum4's Avatar
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    Find the graph of tanh x at the following site.

    http://www.mathcentre.ac.uk/resources/leaflets/firstaidkits/3_5.pdf

    You will see that as x approaches +?, the function gets closer and 1. Therefore,

    lim tanh x = 1
    x->?

  4. #4
    Junior Member tfizzum4's Avatar
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    Find the graph of tanh x at the following site.

    http://www.mathcentre.ac.uk/resources/leaflets/firstaidkits/3_5.pdf

    You will see that as x approaches +?, the function gets closer and 1. Therefore,

    lim tanh x = 1
    x->?

  5. #5
    Junior Member tfizzum4's Avatar
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    Find the graph of tanh x at the following site.

    http://www.mathcentre.ac.uk/resources/leaflets/firstaidkits/3_5.pdf

    You will see that as x approaches +?, the function gets closer and 1. Therefore,

    lim tanh x = 1
    x->?

  6. #6
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    Quote Originally Posted by yuko13224 View Post
    With steps or explanation. Thanks.
    (e^x-e^-x/e^x+e^-x)(e^-x/e^-x) = ((e^x/e^x)-(1/e^2x)/(e^x/e^x)+(1/e^2x)) = ((1-0)/(1+0)) = 1

  7. #7
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  8. #8
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  9. #9
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