
converges by the ratio test for

The limit is 1, so the series converges as long as

which indicates a radius of convergence of 3.
The answer for this question is the last one
Answer:
Step-by-step explanation:
Given
diameter of pie is 
radius 
If child divides pie into 12 equal parts then each part subtends an angle of
at the center
and crust length of single piece is



For two slice length is 
Thus the total length of crust eaten is 
Answer:
"The sum of two rational numbers is rational."
By definition, a rational number can be expressed as a fraction with integer values in the numerator and denominator (denominator not zero). So, adding two rationals is the same as adding two such fractions, which will result in another fraction of this same form since integers are closed under addition and multiplication. Thus, adding two rational numbers produces another rational number.
I believe it will be 1.75
Hope this helps!