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**Prove lim x-->0 f(x) = 0, if there is a number B?**

## Homework Statement

Prove that if there is a number B such that |f(x)/x| <= B for all x # 0, then lim x-->0 f(x) = 0.

## Homework Equations

## The Attempt at a Solution

I don't understand how B comes into play in this question, or how I use it to prove the limit equals 0? I thought of using it in the epsilon-delta proof of a limit, but I don't know how that would work with it being |f(x)/x| <= B... We learned the pinching theorem earlier in the chapter and I thought that could help, but again I don't know where to begin! Help will be most appreciated!