Simple Forms of Limits: Taking bn or an Common

[anmolnanda]

LIMx\rightarrowinfinite (bⁿ+aⁿ)^1/n
it is given that 0<a<b
in this case why do we take bⁿ or aⁿ common to make the inside element 0...and how do u guys take to solve this kind of situation how do u think?

 

[micromass]

This can help: http://en.wikipedia.org/wiki/Generalized_mean
Look at 4.4