$(1$ point$)$

Use the Integral Test to determine whether the infinite series is convergent.

${\displaystyle \underset{n=1}{\overset{}{}}}\frac{7}{2^{lnn}}$

Fill in the corresponding integrand and the value of the improper integral.

Enter inf for $,-$inf for $-,$ and DNE if the limit does not exist.

Compare with ${\displaystyle \underset{1}{\overset{}{}}}$

$dx=$

By the Integral Test,

the infinite series ${\displaystyle \underset{n=1}{\overset{}{}}}\frac{7}{2^{lnn}}$

A$.$ converges

B$.$ diverges