The sum does not converge because
.
Answer:
-41
Step-by-step explanation:
3^3-5x9+6-29
calculate exponents 3^3=27
now write as; 27-5x9+6-29
now multiply and divide (left to right) 5x9=45
now rewrite as 27-45+6-29
now add and subtract(left to right) 27-45+6-29= -41
Answer:

Explanation:
In the first example the division results in a radical, not a polynomial.
The remaining examples are not counter-examples (they do result in a polynomial)
I think the answer is Obtuse