I'm guessing the series is supposed to be

By the ratio test, the series converges if the following limit is less than 1.

The first

terms in the numerator's denominator cancel with the denominator's denominator:


also cancels out and the remaining factor of

can be pulled out of the limit (as it doesn't depend on

).

which means the series converges everywhere (independently of

), and so the radius of convergence is infinite.
Answer:
Option 1 is correct.
Step-by-step explanation:
We have to select the option which is not the condition of a Tessellation.
A tessellation is a regular pattern made up of shapes that perfectly fit together or we can say it is an arrangement of shapes closely fitted together, especially of polygons in repeated pattern with no overlaps and no gaps.
A tessellation use repeated shapes to completely cover a plane with no overlaps or gaps.
Daily life examples of tessellation are honey combs, to man-made objects, like architecture and quilts.
A tessellation can use one or more geometric shapes. Hence, from the given options only the first option is not a condition for tessellation.
Answer:
8:10 and 12: 15
Step-by-step explanation:
we have to multiply