CK12 Calculus - Single Variable

Clearlythis solutionsatisfiesy(x) = xy(x) and y(-1) = 1.

ReviewQuestions

1. Find the rule for the sequencean.

n 1234 ...

an= ?-2 2 -2 2 ...

Tell if eachsequenceis convergent,is divergent,or has no limit. If the sequenceis convergent,find its limit.

4. 
   

   -5, 5, -5, 5, -5, 5, ...

   
   


5. 
   


6. 
   


7. 
   

   {(-1)nn}

   
   


8. 
   


9. 
   


10. 
    

    Let {an} be a sequencesuchthat. Showthat. (|an| is the absolute
    valueofan.)

    
    


11. 
    

    Find the first four functions definedby Picard’s methodfor the solutionto the initialvalue
    problem
    y(x) = 1 + y with y(0) = 0.

    
    


12. 
    

    Find the first four functions definedby Picard’s methodfor the solutionto the initialvalue
    problem