Monday, August 21, 2017

calculus - Limits- h'(0) and writing properly


  1. Write the definition of the derivative of a function of x as a lim



I have no idea what this is talking about.





  1. Consider
    H(x) = \begin{cases} x(1-cos(\frac{1}{x})) & \text{x$\neq$0} \\ 0, & \text{$x=0$} \end{cases}
    Using the limit definition of the derivative find H'(0). If that limit does not exist, explain why.
    I feel like the limit does exist, and I'm just missing something.

    A reply today would be appreciated.

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...