Limit problem involving 1-sided limits

[Bipolarity]

Homework Statement

$$\lim_{a→0+}\frac{1}{a}- \lim_{b→0-}\frac{1}{b}$$

Homework Equations

The Attempt at a Solution

I assume I would have to use the Cauchy definition of a limit to solve this, but I was wondering if there were any alternative ways.

BiP

 

[susskind_leon]

You cannot solve this at all, because neither of the two limits exist. Thus you cannot carry out the substraction.

 

[damabo]

hmm personally I would say the first term gives +infinity and the second term gives - infinite; so subtracting the two would give +infinity. why is this wrong?

 

[susskind_leon]

Damn, I guess you're right ;-)