How to solve limit of the function?

Limit[(1 + (Tan[Sqrt[x]])^2)^(3/x), x -> 0]

I'm getting answer from Math program = e^3

How do we get there?

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- December 9th 2010, 04:04 PMRColaHow to solve limit of the function?
**How to solve limit of the function?**

Limit[(1 + (Tan[Sqrt[x]])^2)^(3/x), x -> 0]

I'm getting answer from Math program = e^3

How do we get there? - December 9th 2010, 04:25 PMTheEmptySet
- December 9th 2010, 04:48 PMRCola
- December 9th 2010, 04:53 PMTheEmptySet
- December 9th 2010, 04:57 PMProve It
Is it easier if you write the function as

? - December 9th 2010, 05:09 PMRCola
- December 9th 2010, 05:10 PMProve It
It most certainly is.

. In this case . - December 9th 2010, 05:13 PMRCola
**Thanks a lot for your help guys!**