Let recursive algorithm F be defined as follows: F(int n): if n=1 then     return 1 else    return F(n-1)*n (a) i. Assuming x is a positive integer, what mathematical expression is returned by F(x)? ii. Repeat (i) but assume the line “return 1” is replaced by “return 0”?

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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Let recursive algorithm F be defined as follows:

F(int n):
if n=1 then
    return 1
else
   return F(n-1)*n

(a) i. Assuming x is a positive integer, what mathematical expression is returned by F(x)?
ii. Repeat (i) but assume the line “return 1” is replaced by “return 0”?

(b) Which of the following replacements for the last line will yield a function guaranteed to terminate for all valid inputs?
i. return F(n-2)+2
ii. return F(
)*2
iii. return F(
)*2

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