Consider the function f:[0;+∞]→R given by the formula f(x)=+∞∑n=1(−1)nsinxnn
Does limx→0f(x) exist? If yes, find it's value.
Is f differantiable? If yes, check if f′(0)>0.
Any ideas how to do that? I assume this is about functions series, it's pointwise convergent I think, does that mean that this limit exists?
Thanks a lot for your help!
No comments:
Post a Comment