かぎり/ないかぎり => While A is the case/still true N2
Conditional, While
かぎりだ => Very A N1
Degree/ Level/Amount
~をかわきりに(~を皮切りに)      => One after another; starting with ~ N1
切る => Give up, stop... N3
Happens next
切る/切れる/切れない => to do something completely to the end/unable to do; too much to finish/complete N3
に[限「かぎ」]って/に[限「かぎ」]り => Only A (A is a special condition) N2
(Not)only, (Not) even
~かぎり => as long as; while… is the case; as far as; while ~ N2
Emphasis on degree
…すぎ ... => too much N4
Emphasis on degree
~かぎりなく ... にちかい => Almost, near, like, almost like N... N1
Limit, limit
よりいっそ => I'd rather... than... N2
Description
[切「き」]れない => Can't finish/complete A N3
Potential, Possibility
すぎる => too much N4