explain all show work please
2. Use Taylor's inequality to determine an n >0 so thatt he Taylor polynomial T.lzr) for cosz at a 0 satisfies loos 2-7,(2)IS ,0001.
3. The 2nd-degree Taylor polynomial of cos r at 0 is 1 - 2/2. Use Taylor's inequality to determine a d> 0 for which cos (1 /2)l s .001 for all r in -d,d COST-
4. T/F (with justification) The 2nd-degree Taylor polynomial for at a = 1 is 1 + 3(x -1) (z-1) 9
Show transcribed image text 2. Use Taylor's inequality to determine an n >0 so thatt he Taylor polynomial T.lzr) for cosz at a 0 satisfies loos 2-7,(2)IS ,0001.
3. The 2nd-degree Taylor polynomial of cos r at 0 is 1 - 2/2. Use Taylor's inequality to determine a d> 0 for which cos (1 /2)l s .001 for all r in -d,d COST-
4. T/F (with justification) The 2nd-degree Taylor polynomial for at a = 1 is 1 + 3(x -1) (z-1) 9