Help with Limit Test | Solving Limits

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The discussion focuses on solving a limit problem involving the expression sqrt(x) / x as x approaches infinity. The user is confused about how to simplify the limit to arrive at the form 1 / sqrt(x). It is clarified that the simplification involves dividing both the numerator and denominator by sqrt(x). The final limit is determined to be 0 as x approaches infinity. Understanding this step is crucial for effectively performing limit tests in calculus.
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 \sqrt{x}.
 

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