Please show the steps Much appreciate Consider the function Evaluate if it exist
ID: 2834545 • Letter: P
Question
Please show the steps
Much appreciate
Consider the function Evaluate if it exists or justify why the limit does not exist. Find for all (x,y) R2. Determine where f is continuous. Use the definition of continuity and the theorems of continuity to justify your answer. Determine where f is C1. Justify your answer, referring to any theorems you use. Consider the function g(x,y) = log (6-2x + y). Determine the third order Taylor polynomial for g about the point (2, -I). Using the second order Taylor polynomial, approximate g(2.1,-0.9). Calculate the actual error. Determine an upper bound for the error using the remainder formula. How does the actual error compare to the error estimated by the remainder formula? Using the third order Taylor polynomial, approximate g(2.1, -0.9). Calculate the actual error. How does the actual error compare to the actual error using the second order Taylor polynomial?Explanation / Answer
1.
f(Z(n))= 2ab/(a^2+5b^2)*n for all n
as n tends infinity f(Z(n)) tends 0
as limit n tends infinity f(x,y) tends to zero