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Math 180 Worksheets W1 6. Compute the following limits or state that they do not exist. If the limit does not exist explain why. Hint: When

`x>0`

, what do we know about

`|x|`

, how about when

`x<0`

? Use this information to write this as a piece-wise function. (a)

`\lim_(x->0^(+))(|x|)/(x)`

(b)

`\lim_(x->0^(-))(|x|)/(x)`

(c)

`\lim_(x->0)(|x|)/(x)`

With help from the information above, draw a graph of

`(|x|)/(x)`

on the interval

`-5,5`

. Make sure to label the axes and unit lengths. Math 180 Worksheets W1 6. Compute the following limits or state that they do not exist. If the limit does not exist explain why. Hint: When

`x>0`

, what do we know about

`|x|`

, how about when

`x<0`

? Use this information to write this as a piece-wise function. (a)

`\lim_(x->0^(+))(|x|)/(x)`

(b)

`\lim_(x->0^(-))(|x|)/(x)`

(c)

`\lim_(x->0)(|x|)/(x)`

With help from the information above, draw a graph of

`(|x|)/(x)`

on the interval

`-5,5`

. Make sure to label the axes and unit lengths.