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Chapter 13: Problem 11

Evaluate the following limits. $$\lim _{(x, y) \rightarrow(2,9)} 101$$

Short Answer

Expert verified
Answer: The limit is 101.

Step by step solution

01

Identify constant functions

In this case, the given function is a constant function, which means its value does not change with respect to the variables x and y. The function is given by: $$f(x, y) = 101$$
02

Evaluate the limit

Since the function is a constant function, it does not depend on the variables x and y. The limit of a constant function as (x, y) approaches any point is simply the constant value itself, i.e., $$\lim _{(x, y) \rightarrow(2,9)} 101 = 101$$ So, the limit as (x, y) approaches (2, 9) is 101.

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