Honors AP Calculus / Mr. Hansen

Name: ____________________

5/20/2010

 

 

Quiz on Lagrange Error Term

 

1.

Prove: If f (x) = sinh x, then  for all  and all .

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2.

Use the result of #1 to find the maximum possible error when the Maclaurin series for sinh x is used to estimate sinh 4 with 6 nonzero terms. Warning: