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Solution: Continuity of composite functions At what points
Chapter 9, Problem 35E(choose chapter or problem)
QUESTION:
Continuity of composite functions At what points of \(\mathbf{R}^{2}\) are the following functions continuous?
f(x, y)=sin xy
Questions & Answers
QUESTION:
Continuity of composite functions At what points of \(\mathbf{R}^{2}\) are the following functions continuous?
f(x, y)=sin xy
ANSWER:Solution 35E
Find the points of R2 where the function is continuous.
f(x, y) = sin xy
Step 1 of 3:
Continuity of Composite function
If u = g(x , y) is continuous at (a , b) and z = f(u) is continuous at g(a , b), then the composite function z = f(g(x , y)) is continuous at (a , b).
Here the giving function is Composite function where
g (u) = sin u and u = h (x , y) = xy