Enter the integer which is the apparent limit of the following sequences or enter
N
if the sequence does not appear to have a limit.
1.
the sequence generated by \(f(h)\) where \(h\) is any sequence of numbers approaching zero and \(f(x)=x^2+5\) if \(x\) is greater than or equal to 0 and \(f(x)=-x^2+5\) if \(x\) is less than zero.
2.
the sequence generated by (h) a sequence of positive numbers approaching zero and \(f(x)=x^2+2\) if x is greater than or equal to 0 and \( f(x)=-x^2+2 \) if x is less than zero.
3.
the sequence generated by \(f(h)\) where \(h\) is any sequence of numbers approaching zero and \(f(x)=x^2+9\) if \(x\) is greater than 0 and \(f(x)=-x^2-9\) if \(x\) is less than zero.
4.
the sequence generated by \(f(h)\) where \(h\) is a sequence of negative numbers approaching zero and \(f(x)=x^2+8\) if \(x\) is greater than or equal to 0 and \(f(x)=-x^2-8\) if \(x\) is less than zero.
You can earn partial credit on this problem.