Friday, October 18, 2019

limits - limxrightarrow0fracsin(sinx)x



Can someone suggest how to solve this limit?


limx0sin(sinx)x


If I substitute y=sinx then sin(sinx)=siny while x=arcsiny. Then the limit becomes limy0sinyarcsiny


but this form is more complicated than the first one...


Answer



Hint multiply top and bottom by sinx and break into a product of two limits.


No comments:

Post a Comment

analysis - Injection, making bijection

I have injection f:AB and I want to get bijection. Can I just resting codomain to f(A)? I know that every function i...