Test the series for convergence or divergence. ∑from n=1 to ∞ ((n^3 -1)/(n^4+1))
3 answers
I do the alternating seriestest. It shows that bn >0, (bn+1)<bn and the limit is 0. So, it is convergent but the correct answer is divergent. Why?
why alternating series? All the terms are positive.
lim(n->∞) a_(n+1)/(a_n) = n^3/n^4 = 1/n
The harmonic series diverges
lim(n->∞) a_(n+1)/(a_n) = n^3/n^4 = 1/n
The harmonic series diverges
Test the series for convergence or divergence.∑from n=1 to ∞ ((e^n) /n^2)
n = 1
n = 1