Thursday, 13 July 2017

calculus - Evaluating limxto0fracxsin(sinx)sin2xx6






Evaluate:
limx0xsin(sinx)sin2xx6





I have been trying to solve this for 15 minutes but sin(sin(x)) part has me stuck.



My attempt:



I tried multiplying with x inside the sin as sin(xsinxx). No leads.


Answer



Use sin(u)=uu36+u5120+o(u6) (three times).


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