limit as x approaches 0 of [(ln(4+x))-ln(4)]/x

My teacher is having our class prepare for the AP test.  This is a problem from last year's AP test.
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ln(x+4)-ln(4)=ln(x/4+1)=(x/4)-(1/2)(x/4)^2+(1/3)(x/4)^3...

Divide by x: (1/4)-(1/2)x/16+...=1/4 when x=0. So the limit as x approaches zero is 1/4.
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