/sci/ - Science & Math

[Anonymous No.4074125]

The value of <span class="math">\lim_{n\to\infty} \left({3n-1 \over 2+3n} \right)^{2n-1}[/spoiler] is <span class="math">\infty[/spoiler]

I tried to write this as an e power.

I get <span class="math">e^{\lim_{n \to \infty}\left({4n^2+3n-3}\over{-1-2n} \right)}[/spoiler]. Can we say that <span class="math">e^{\infty}=\infty[/spoiler]and the value of this limit is therefore <span class="math">\infty[/spoiler]?

[Anonymous No.4074161]

Yeah. But you ought to write it with limits. Using <span class="math">\infty[/spoiler] can be tricky.

[Anonymous No.4074382]

>the limit is infinity
Incorrect.

[Anonymous No.4074413]

>>4074125
the limit is exp(-2)