I have a sequence x n </msub> = ( 2 n

Alannah Short

Alannah Short

Answered question

2022-06-17

I have a sequence
x n = ( 2 n 3 + n n 3 + 3 i n n + 1 ) .

Answer & Explanation

rioolpijpgp

rioolpijpgp

Beginner2022-06-18Added 19 answers

You can make life simpler if you avail yourself of the fact that a sequence of complex numbers converges to z iff its real part converges to ( z ) and its imaginary part converges to ( z )
This simplifies the algebra. For the real part, you have
| 2 n 3 + n n 3 2 | = 1 n 2 0 a s n .
For the imaginary part, you have
| 3 n n + 1 3 | = 3 n + 1 0 a s n .

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