For a positive integern, let

an=1+(1/2)+(1/3)+..........+(1/(2^n -1))

then

a) a200<=100

b) a200 >100

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- Oct 11th 2009, 11:15 AMIIT 2010analysis problem
__For a positive integer____n____, let__

__an____=1+(1/2)+(1/3)__+..........+(1/(2^n -1))

then

a) a200<=100

b) a200 >100

- Oct 12th 2009, 08:47 AMEnrique2
Here it is underlying the original proof of the divergence of the harmonic series.

Define

Now it follows that the harmonic series diverges, and also that your correct answer is b)!