I need to solve this limit without L'Hôpital's rule. These questions always seem to have some algebraic trick which I just can't see this time.
limx→05−√x+25x
Could someone give me a hint as to what I need to do to the fraction to make this work? Thanks!
Answer
limx→05−√x+25x=limx→0(5−√x+25)(5+√x+25)x(5+√x+25)=limx→025−(x+25)x(5+√x+25)=−110
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