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We have a math and programming contest in our college for which I am designing a poster.

I want to know different expressions that tend to infinity.

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Please, formulate the question not in the demand form (i.e. "I want to know"). – dtldarek Mar 8 '12 at 12:07
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$x$, $x^2$, $x^3$, $x^4$, $x^5$, $x^6$, $x^7$, $x^{10}$, $x^x$, $x^{(x^x)}$, $x^{(x^{(x^x)})}$ – Ilya Mar 8 '12 at 12:10
$n$, $n=1,2,3,\ldots$. – AD. Mar 8 '12 at 12:28
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Thale: It is not an explicit rule, but we do prefer that people ask politely, and demonstrate that they've tried to solve their problem first before asking for others' help. Both of these make people much more willing to assist you. – Zev Chonoles Mar 8 '12 at 14:58

closed as not constructive by Ilya, Listing, Paul, AD., Kannappan Sampath Mar 8 '12 at 13:15

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1 Answer

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There are infinitely many such expressions! What exactly are you looking for?

Two well-known examples are the harmonic series and the reciprocals of the primes.

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