Let f be a real-valued function continuous at the point a = (a1, a2) in R². Keep a2 fixed and define a new function g of one real variable by the equation g(x) = f(x, a₂). Prove that g is continuous at the point where z = a₁.
Let f be a real-valued function continuous at the point a = (a1, a2) in R². Keep a2 fixed and define a new function g of one real variable by the equation g(x) = f(x, a₂). Prove that g is continuous at the point where z = a₁.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 51E
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