Hope someone can help me.
Qn 1 : Is the function differentiable at
Qn 2 : Compute the limit .
Thanks in advance.
Dear icefirekid,
Part 1
Since f(0)=0, f(x) is continues when x=0. Therefore f(x) could be differentiated at x=0.
Therefore,
Part 2
Consider,
Substitute,
Integrate using partial fractions and you would get,
Since does not exist, will not exist.
Hope this helps.