On 10/07/2013 12:46 PM, Robin Chapman wrote: > On 07/10/2013 15:34, Mohan Pawar wrote:
>> Let y = |sin (1/m) |^(m) Taking log on both sides => ln(y) = m >> ln(|sin (1/m)|) Take limit on both sides as m->0 and evaluating it >> =>lim m->0 ln(y) = lim m->0 m ln(|sin (1/m)|)= 0 (at the time of >> evaluating limit, m=0 is the multiplier and one doesn?t need to care >> about value of ln(|sin (1/m)|). Also, the limit is determinate.) > > You do need to care about the value of log |sin(1/m)|. > Note that here m = 1/n in the original problem, so that > m is a reciprocal of a natural number. With this class of m, > 1/m can be arbitrarily close to an integer multiple of pi,
Can it be arbitrarily close to any integer multiple of pi other than zero?
-- Michael F. Stemper If you take cranberries and stew them like applesauce they taste much more like prunes than rhubarb does.