Answer:
Radius of the convergence is R = 
and,
The Interval of convergence is 
Step-by-step explanation:
Given function : Σ(21x)^k
Now,
Using the ratio test, we have
R = 
or
R = 
or
R = 
now,
for convergence R|x| < 1
Therefore,
< 1
or

and,
Radius of the convergence is R = 
and,
The Interval of convergence is 
Answer:
6
Step-by-step explanation:
Total number of subsets is given as

But the subset of a set consists of the proper subsets, an empty set and the set itself.
Total number of subsets are 64
Therefore,


Comparing both sides

Answer:
#12 is 1
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:

m = slope
x, y = coordinates
