CK12 Calculus - Single Variable

y(x) = 1 + y^2 with y(0) = 0.

13. Find the first threefunctions definedby Picard’s methodfor the solutionto the initialvalue
    problem

with.
Answers

1.an= (-1)n 2

2. convergent;Limitis 0


3. convergent;Limitis 6


4. No limit exists.


5. divergent


6. convergent;Limitis 0


7. No limit exists.


8. No limit exists.


9. convergent;Limitis 0


10. By definitionof absolutevalue,-|an| ≤an≤ |an|. Thentake limitsof all threeterms:

By the Sandwich/SqueezeTheorem, also.

13.