determine whether or not the series n starts 1 end go to infinity, (In(n)+((-1)^n )n^(1/2))/ n*n^(1/2) is convergent? I couldnt do it
\(\displaystyle \displaystyle \sum^{\infty}_{n=1} \left[\ln(n)+(-1)^n\frac{n^{\frac{1}{2}}}{n\cdot n^{\frac{1}{2}}}\right]\)
Or might it bedetermine whether or not the series n starts 1 end go to infinity, (In(n)+((-1)^n )n^(1/2))/ n*n^(1/2) is convergent? I couldnt do it
determine whether or not the series n starts 1 end go to infinity,
(In(n)+((-1)^n )n^(1/2))/ n*n^(1/2) **
In any event,the expression is typed incorrectly,
because it is missing a last pair of grouping symbols.
is convergent? I couldnt do it
It You may first want to use the fact that sqrt(n) > ln(n) for all (positive integers) n.