If z_ n = n(n+1)(n+2) +i n(n+1)(n+2) for n=1, 2, 3, ....., k, then the value of k Lim (z…

Mathematics · JEE Advanced · NTA Exams — Complex Numbers and Quadratic Equations

1. \(\frac{1}{\sqrt{2}}-\frac{i}{\sqrt{2}}\)
2. \(-\frac{1}{2}+\mathrm{i} \frac{\sqrt{3}}{2}\)
3. \(-\frac{1}{2}-i \frac{\sqrt{3}}{2}\)
4. \(\frac{1}{\sqrt{2}}+\frac{i}{\sqrt{2}}\)

Answer

(D) 1 2 + i 2

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