Question: Evaluate lim as x approaches infinity 2x-1/1+2x Solution : lim x-> (2x-1)/(2x+1) first we divide both numerator and denominator by 2x we get lim x-> (1-1/2x)/(1+1/2x) as x-> we have 1/2x tend to zero so = (1-0)/(1+0) = 1/1 = 1 so limit value is 1.