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Find the limit:

Quote: Originally Posted by badinmath Find the limit: Let 3x = w. Then your limit is $\displaystyle \lim_{w \rightarrow \infty} \left( 1 + \frac{15}{w} \right)^w$ Now recognise the well known limit of the form $\displaystyle \lim_{w \rightarrow \infty} \left( 1 + \frac{a}{w} \right)^w = e^a$.