limit

**ozlem** · March 23rd, 2011, 02:04 AM

How can i show that both limits exist and are equal to 0? I attached limits as jpeg file

**Plato** · March 23rd, 2011, 02:34 AM

Hello and welcome to MathHelpForum.
You should understand that this is not a homework service nor is it a tutorial service. Please either post some of your own work on these problems or explain what you do not understand about the question.

**Prove It** · March 23rd, 2011, 02:38 AM

Is the $\displaystyle i$ in your first problem the imaginary number $\displaystyle i = \sqrt{-1}$ ?

**ozlem** · March 23rd, 2011, 03:58 AM

No, it isn't. It refers to "i times". This formula is calculated after analysis of algortihms by using summations.

I thought i can solve this limit by L' Hopital's Rule but after derivatives of both parts. The first one is equal to 0 but i have problem with the second one. Can i rewrite log as n^1/2 but i'm not sure about it since the log itself is square root not the "n" nor "2". The second one is equal to 0 after rewriting log but not the first one. Or should i take derivative not once but until the second one is equal to zero which i haven't tried yet since i'm not sure about rewriting log

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