Monday, 15 September 2014

sequences and series - Sum of reciprocals of powers








Using Weierstrass theorem (any monotonic and bounded sequence is convergent), we can prove that the sequence un=nk=11kk with n a positive integer is convergent. But can we actually find its limit ?

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real analysis - How to find limhrightarrow0fracsin(ha)h

How to find limh0sin(ha)h without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...