(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

prove that if k>1 then k^{n}→∞ an n→∞

there is a hint given. (hint:let k=1+t where t>0 and use the fact that (1+t)^{n}>1+nt)

(ii) prove that if 0<k<1 then k^{n}→0 as n→∞

2. Relevant equations

3. The attempt at a solution

if k>1

then k^{n+1}-k^{n}=k^{n(k-1)}

(ii) 1/k>1

then1/k^{n}→∞

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Prove sequences

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