It is inconclusive by the Root Test which gives the value 1

It is diverging by the Ratio Test which gives the value 2

It is inconclusive by the Ratio Test which gives the value 1

It is diverging by the Root Test which gives the value 2

It is converging by the Root Test which gives the value 0

It is converging by the Ratio Test which gives the value 0

All statements are true

(ii) and (iii) are true

(i) and (iii) are true

(i) and (ii) are true

None of the statements are true

(-\infty,-2]

[-\frac{1}{2},\frac{1}{2}]

[2,\infty)

[1,\infty)

(-\infty,-1]

(1,\infty)

(-1,1)

(-\infty,-1)

(ii) and (iii) are correct

(iii) and (iv) are correct

Only (iii) is correct

(ii) and (iv) are correct

(i) and (iii) are correct

Only (iv) is correct

None of the statements are true

All of the statements are correct

\dfrac{z+1}{z^2+5z+6}

\dfrac{1}{z^2+z+1}

\dfrac{1}{z^2+1}

\dfrac{z^2-2z+1}{z^2-3z-4}

\dfrac{z^{2025}}{1-i}

\dfrac{1}{iz^2+4z-4i}