is there a way to find the right/left side limits of equtaions without using a graphing calculator, for example:
lim x-> 7/2 + int (2x-1)
Ok. Well assuming it's the greatest integer function (not the least integer function), this means that all decimals will round down to the previous integer (positive ones). So int(5.5)=5. This graph makes clear jumps, so limits can be seen easily. First consider the point f(7/2) - if it exists and what it is if so. Then since you are taking a right-sided limit look at points to the right of this. Remember that the limit is what value it is approaching, not necessarily what the value is at the point.