For which z’s does the infinite series converge? To what function does it conver

Rivka Thorpe

Rivka Thorpe

Answered question

2021-08-22

For which z’s does the infinite series converge? To what function does it converge?
1+z2+z24+z38+

Answer & Explanation

Lacey-May Snyder

Lacey-May Snyder

Skilled2021-08-23Added 88 answers

1+z2+z24+z38+ … (geometric series)
So, =11(z2)=12z2
So, =22z
This series converges if |z|<2 and it converges 22z.

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