Evaluate `lim_(xto0) (3x+|x|)/(7x-5|x|).`

1.	Evaluate `lim_(xto0) (3x+\|x\|)/(7x-5\|x\|).`
Answer» Correct Answer - Limit does not exist. `underset(xto0^(-))lim(3x+\|x\|)/(7x-5\|x\|)=underset(xto0^(-))lim(3x-x)/(7x-5x)=1/6` and `underset(xto0^(+))lim(3x+\|x\|)/(7x-5\|x\|)=underset(xto0)lim(3x+x)/(7x-5x)=2` Hence, the limit does not exist.

Discussion

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