Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

[u4476154]

Can anyone tell me how to prove this
If x>y>1 then exist N\inZ s.t. for all n>N, x^n>y^n
thanks

 

[Deleted member 4993]

Can anyone tell me how to prove this
If x>y>1 then exist N\inZ s.t. for all n>N, x^n>y^n
thanks

Use method of induction.

Please share your work with us, indicating exactly where you are stuck - so that we may know where to begin to help you.

 

[u4476154]

Use method of induction.

Please share your work with us, indicating exactly where you are stuck - so that we may know where to begin to help you.

Thanks for reply.
Well, there is a typo. the question should read as "If x>y>1 then exist N\inZ s.t. for all n>N, x^n>2y^n"

Now the induction won't work...
But anyway, I have managed to prove it by using limit