Solution Found!
Limits of composite functions Evaluate the following
Chapter 9, Problem 65AE(choose chapter or problem)
QUESTION:
Limits of composite functions Evaluate the following limits.
\(\lim _{(x, y) \rightarrow(0,2)}(2 x y)^{x y}\)
Questions & Answers
QUESTION:
Limits of composite functions Evaluate the following limits.
\(\lim _{(x, y) \rightarrow(0,2)}(2 x y)^{x y}\)
ANSWER:Solution 65AE
Step 1 of 2:
In this problem we need to evaluate
We know that f(g(x,y)) is called as a composite function.
Consider , is a composite function …………..(1)
Let us consider , g(x , y) = xy = t
Then = = f(t).
By finding the limit of f( g(x , y)) , first find the g(x,y) then find the limit of f(g(x,y)).