# Which one of the following is the correct statement? The region of convergence of z-transform of x[n] consists of the values of z for which x[n] is:

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Which one of the following is the correct statement? The region of convergence of z-transform of x[n] consists of the values of z for which x[n]  is:

(a) Absolutely integrable

(b) Absolutely summable

(c) Unity

(d) <1

This question was posed to me in my homework.

This interesting question is from The Z-Transform topic in section Digital Control Systems of Control Systems

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Right option is (b) Absolutely summable

The explanation: The region of convergence of z-transform of x[n] consists of the values of z for which x[n]r^-n  is absolutely summable.

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