Answer:
A. FALSE
B. TRUE
C. FALSE
D. NOT POSSIBLE TO DETERMINE
Step-by-step explanation:
(A) FALSE. since the power series ∑ has radius of convergence |-4|=4 ans 7> 4 which is beyond its radius of convergence. thus by the theorem of power series, the series diverges at 10.
(B)TRUE. since the radius of convergence of the power series ∑ must be at least |-4| = 4 and 3 lies within this radius, thus it converges at x=3
(C)FALSE the series does not diverge at x=1, since 1 is within its radius of convergence |-4| = 4
(D)NOT POSSIBLE TO DETERMINE
At x=6, it is beyond its radius of convergence but has not attain its divergence point. thus it is not possible to determine.
C. All five of the potential errors could cause this sort of problem.
Answer:
Step-by-step explanation: