Solving Limit at infinity with radicals (without L'hopital): sqrt[3x^5-2x] - sqrt[3x^

AlexandraMarie112

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Limx--->positive infinity sqrt(3x5-2x) - sqrt(3x5-7x)

I have no clue how to solve this. At first, I rationalized it , then divided the top and bottom by x5​ , but the answer I got was wrong.
 
Limx--->positive infinity sqrt(3x5-2x) - sqrt(3x5-7x)

I have no clue how to solve this. At first, I rationalized it , then divided the top and bottom by x5​ , but the answer I got was wrong.
Unfortunately, it is not possible for us to check work which is only mentioned. Please reply with a clear listing of your steps, so we can attempt to locate any errors. Thank you! ;)
 
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