1.3  Limits

EXERCISE SOLUTIONS

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We need to rationalize the numerator to do this one!
 

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First simplify this complex rational expression:
 

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Look at the graph of y=1/x:

Clearly   

Since the right limit doesn’t equal the left limit (in fact they couldn’t disagree more!),

    does not exist.

26.  

The trick is to first multiply the numerator and denominator by x: