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Math Help - limit of exponent type

  1. #1
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    limit of exponent type

    lim_{x->0^{+}}(1+sinx)^{\frac{1}{\sqrt{x}}}

    i get here 1^{\infty} form which states thats its some sort of exponent
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  2. #2
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    Re: limit of exponent type

    Quote Originally Posted by transgalactic View Post
    lim_{x->0^{+}}(1+sinx)^{\frac{1}{\sqrt{x}}}

    i get here 1^{\infty} form which states thats its some sort of exponent
    1^{\infty} is one of the indeterminate forms that you can use L'hopital's rule on
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  3. #3
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    Re: limit of exponent type

    lhopital is used on fraction here is exponent
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    Re: limit of exponent type

    Quote Originally Posted by transgalactic View Post
    lhopital is used on fraction here is exponent
    y = (1+\sin{x})^{\frac{1}{\sqrt{x}}}

    \ln{y} = \frac{\ln(1+\sin{x})}{\sqrt{x}}}
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  5. #5
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    Re: limit of exponent type

    why cant i use the exponent definition
    ?
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