Suppose a power series (will add below) converges at -2 and diverges at 0. What can you say about the convergence of the power series at -8,-7,-3,-1 and the radius of convergence?

Question

kkutie7 · Answer

$$\sum_{}^{}c_{n}(x+5)^{n}$$

anonymous · Answer

hmm not sure exactly
what do we know? we know $$\sum c_n3^n$$ converges and $$\sum c_n5^n$$ diverges

kkutie7 · Answer

right

anonymous · Answer

but maybe it only converges at -2, 
i should shut up because really can't see how you can know anything
the radius of convergence is less than 2, that is all i can see

anonymous · Answer

don't see why it has two be 2 though
maybe it is only 1
maybe is is zero 
who knows?

kkutie7 · Answer

Yeah I'm just going to mark not enough information or something

anonymous · Answer

keep it open, maybe you will get a better answer than i can givef