help finding the following limit:

**badinmath** · February 15th 2008, 09:16 PM

Find the limit:

**mr fantastic** · February 15th 2008, 09:25 PM

Originally Posted by badinmath

Find the limit:

Let 3x = w.

Then your limit is $\lim_{w \rightarrow \infty} \left( 1 + \frac{15}{w} \right)^w$

Now recognise the well known limit of the form $\lim_{w \rightarrow \infty} \left( 1 + \frac{a}{w} \right)^w = e^a$ .

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