So the task is to prove lim(5x2^n - 4)/(2^n-1) = 5 (as n tends to infinity) using the definition of convergence. The hint is to use the fact that 2^n > n
I started by saying mod((5x2^n - 4)/(2^n-1) - 5) < epsilon as usual and I followed it through and got to the step
2^n > 1/epsilon + 1
and to finish the proof I need to be able to say n is greater than something containing epsilon and I don't see how to do that from here.
2^n is greater than n but that obviously doesn't imply n>1/epsilon + 1
Any help is very much appreciated.
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Help with proving a limit of sequence watch
- Thread Starter
- 26-10-2015 15:06