How do you write a mixed number for each
1 answer:
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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.
By the ratio test, the series converges if the following limit is less than 1.
The first
which means the series converges everywhere (independently of
For this case we have that by definition, the quadratic formula is:
A quadratic equation is of the form:
Option A: This equation can be solved without the quadratic formula
Option B:
This equation is not as easy to solve by factoring or as option A. We can use the quadratic formula.
Option C:
Similarly, this equation can be solved with the quadratic formula
Option D:
In this factored equation we can see that the roots are
Answer:
Option B, C
