Zayn C.

asked • 01/02/20

Evaluating Problems

Find limit as x approaches 4 of the quotient of the quantity the square root of the quantity 3 times x plus 4 minus the square root of 4 times x and the quantity x squared minus 4 times x 


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Mark H. answered • 01/03/20

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When x = 4, the top and bottom are both 0, so this is appears to be ambiguous.


However, note that the top is a square root function, and the bottom is a square. This means that the top approaches 0 faster, and therefore the limit appears to be 0. Graphing the function confirms this


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