Help with Limit Test | Solving Limits

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SUMMARY

The forum discussion centers on solving a limit problem involving the expression Lim (sqrt(x) / x) as x approaches infinity. The correct simplification involves dividing both the numerator and denominator by sqrt(x), leading to Lim (1 / sqrt(x)) as x approaches infinity, which definitively results in a limit of 0. This method demonstrates a standard technique in calculus for evaluating limits at infinity.

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Llama77
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I am having trouble with this limit, i am to do a Limit test but I just don't see it.


Step 1.
Lim sqrt(x) / x
x --> Infinity




Step 2.
My professor this goes down to

Lim 1 / sqrt(x)
x --> Infinity


and the limit is then 0





What I am not sure about is from steps 1 to step 2.




I tried the latex it wouldn't work for me, sorry.
 
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Your professor simply divided the numerator and the denominator both by [itex]\sqrt{x}[/itex].
 

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