Let n denote the number of solutions of the equation z² + 3… = 0, where z is a complex number. Then the value of … is equal to :

Complex Numbers

JEE Main 2021 · 22 Jul, Evening shift · Q3223

MathematicsMedium53×since 2002Q3223

Let n denote the number of solutions of the equation z² + 3

\overline z

= 0, where z is a complex number. Then the value of

\sum\limits_{k = 0}^\infty {{1 \over {{n^k}}}}

is equal to :

JEE Main 2021 · 22 Jul, Evening shift · Q3223

MathematicsMedium53×since 2002Q3223

Let n denote the number of solutions of the equation z² + 3

\overline z

= 0, where z is a complex number. Then the value of

\sum\limits_{k = 0}^\infty {{1 \over {{n^k}}}}

is equal to :