Homework Statement
I need to understand and prove the following: That if a>1 the function diverges, except for a special case x_0= b/(1-a). Then if a=-1 diverges for some cases and converges if x_0 is b/2. Again, not to clear on this.
Homework Equations
lim n →∞...
Homework Statement
Use the definition of convergence to prove that lim n→∞ (1/2)^n=0
The definition of convergence says |a_n-L|<ε
Homework Equations
The Attempt at a Solution
As I understand it:
|(1/2)^n-0|<ε
|(1/2)|^n<ε
then I need to solve for n...