Saturday, 27 April 2013

limits - How to evaluate limxto0(ln(1sinx)+x)/x2 without using l'Hôpital?

How to evaluate
lim

without using l'Hôpital?
I am not able to substitute the right infinitesimal. Is there a substitute?



Background




  1. We have yet not done Taylor expansions.

  2. I know that \ln around 1 tends to 0 and \sin around 0 tends to 0.

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