Saturday, April 30, 2016

limits - Is L'Hopital for limlimitsxto0fracsin(x)x circular?

I was considering using L'Hopital for lim, but I was told that this is circular, because we use this limit to show \displaystyle\frac{\mathrm d}{\mathrm dx}\sin(x) = \cos(x).



Do we have to use this limit to find the derivative of \sin(x), or is there a legitimate counter-argument here?

No comments:

Post a Comment

analysis - Injection, making bijection

I have injection f \colon A \rightarrow B and I want to get bijection. Can I just resting codomain to f(A)? I know that every function i...