I understand that the power rule for limits could be used here but my teacher wants it done using the epsilon delta definition.
1st attempt (though I think it's obviously wrong since my could be undefined):
Indeed. But don't forget that you want an upper bound, and you certainly have that x< |a|+1 So, use this to get aqn upper bound on the big polynomial factor, take delta to be the minimum of 1 and epsilon/(bound on poly)