ompution Tests $-$ Persenal $-$ Morotalt fapt

soncom$/$Student$/$PlayerHomeworkaspichomeworkld $=6980417358$questionld $=78$Aluhed $=$ falsetacld $-82929848$ cintment

Lee SUM$225$

$10\mathrm{.}5$ Comparison Tests

c Question $14,10\mathrm{.}5\mathrm{.}22$

Use the Comparison Test or Linat Comparison Test to defermine whether the following serves converges

${\displaystyle \underset{k=1}{\overset{}{}}}\sqrt[\phantom{2}]{\frac{25k^2}{16k^{4}7}}$

Chocse the correct answer below

A$.$ The Companison Test with ${\displaystyle \underset{k=1}{\overset{}{}}}\frac{5}{4k}$ shows that the series consurpes

The Limit Comparison Iest wan ${\displaystyle \underset{k=1}{\overset{}{}}}\frac{5}{4k}$ shows that the series divery.

C$.$ The Line Comewish Test weth ${\displaystyle \underset{i=1}{\overset{}{}}}\frac{5}{4x}$ show har the serves connerper

p$.$ Ine corparion fest win ${\displaystyle \underset{k=1}{\overset{}{}}}\frac{5}{4k}$ show that the series diverges.