(infinity)^infinity type of limits

phymatter · Oct 20, 2010

does anyone know a general way to deal with (infinity)^(infinity) type of limits !
pl. help!

Mark44 · Oct 20, 2010

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 [tex]\lim_{n \to \infty} n^n = \infty[/tex]

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 [tex][1]^{\infty}[/tex].

(infinity)^infinity type of limits

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