- #1
tandoorichicken
- 245
- 0
First, a quick question about limits. Is it true that if a function "flip-flops" between positive and negative values, the limit does not exist? Say in the case of
[tex]\lim_{n\rightarrow\infty} (-10)^{n} [/tex] ?
Second, I'm having some difficulty with a problem and I'm not quite sure how to start.
)If the nth partial sum of a series [itex]\Sigma_{n=1}^{\infty} a_n [/itex] is [itex] s_n = 3-2^{-n}n [/itex], find [itex]a_n[/itex] and [itex]\Sigma_{n=1}^{\infty} a_n [/itex].
[tex]\lim_{n\rightarrow\infty} (-10)^{n} [/tex] ?
Second, I'm having some difficulty with a problem and I'm not quite sure how to start.
)If the nth partial sum of a series [itex]\Sigma_{n=1}^{\infty} a_n [/itex] is [itex] s_n = 3-2^{-n}n [/itex], find [itex]a_n[/itex] and [itex]\Sigma_{n=1}^{\infty} a_n [/itex].