(infinity)^infinity type of limits

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does anyone know a general way to deal with (infinity)(infinity) type of limits !
pl. help!
 
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phymatter said:
does anyone know a general way to deal with (infinity)(infinity) type of limits !
pl. help!
An example of this type of limit is \lim_{n \to \infty} n^n = \infty

As the base gets larger, and the exponent gets larger, the whole expression gets large without bound (i.e., approaches infinity). There's really nothing tricky about this type of limit, as opposed to one of the indeterminate forms, such as [1]^{\infty}.
 

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