SOLUTION: (i)prove that if k>1 then k^n→∞ as n→∞
Hint:let k=1+t where t>0 and use the fact that (1+t)^n>1+nt
prove if 0<k<1 then k^n→0 as n→∞
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Question 550087: (i)prove that if k>1 then k^n→∞ as n→∞
Hint:let k=1+t where t>0 and use the fact that (1+t)^n>1+nt
prove if 0
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Since 1+nt goes to infinity (as n goes to infinity) then (1+t)^n also goes to infinity.
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