Assume that lim f(x, y) = 2 (x,y)-(2,5) lim g(x, y) = 3 (x,y)-(2,5) Evaluate the following limit. lim (x,y) →(2,5) (Use symbolic notation and fractions where needed.) ef(x,y)²-5g(x,y)

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Assume that

\[
\lim_{(x, y) \to (2, 5)} f(x, y) = 2
\]

\[
\lim_{(x, y) \to (2, 5)} g(x, y) = 3
\]

Evaluate the following limit.

\[
\lim_{(x, y) \to (2, 5)} e^{f(x, y)^2 - 5g(x, y)}
\]

(Use symbolic notation and fractions where needed.)

\[
\lim_{(x, y) \to (2, 5)} e^{f(x, y)^2 - 5g(x, y)} = \, \boxed{}
\]
Transcribed Image Text:Assume that \[ \lim_{(x, y) \to (2, 5)} f(x, y) = 2 \] \[ \lim_{(x, y) \to (2, 5)} g(x, y) = 3 \] Evaluate the following limit. \[ \lim_{(x, y) \to (2, 5)} e^{f(x, y)^2 - 5g(x, y)} \] (Use symbolic notation and fractions where needed.) \[ \lim_{(x, y) \to (2, 5)} e^{f(x, y)^2 - 5g(x, y)} = \, \boxed{} \]
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