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**1. Homework Statement**

can you cancel the x and the |x|

can you cancel the x and the |x|

lim x→0 ( x(1-(cos(x))/|x| )

2. Homework Equations

2. Homework Equations

**3. The Attempt at a Solution**

At first i thought the limit would just be undefined as x approaches 0 but the answer to the problem is actually 0, so can you just cancel the x with the magnitude of x (|x|) on the denominator??? thanks