SOLUTION: (i)prove that if k>1 then k^n→∞ as n→&#8734 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→&#8734

Algebra -> Sequences-and-series -> SOLUTION: (i)prove that if k>1 then k^n→∞ as n→&#8734 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→&#8734 Log On

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SOLUTION: (i)prove that if k>1 then k^n&#8594;&#8734; as n&#8594;&#8734 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&#8594;0 as n&#8594;&#8734

SOLUTION: (i)prove that if k>1 then k^n→∞ as n→&#8734 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→&#8734