Solve the limit given on the picture

Pull out the highest power of from each radical expression, then divide through the numerator and denominator by the largest power of overall.

The largest power in the cube root is ; the largest power in the fourth root is :



Now the largest power in the numerator and denominator is , so we get



Every term containing approaches 0 as , which leaves us with

The answers are 20,30,80,180,960,890,1230,4560. on the first row