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Compute the following limit е (x,y) → (0,1) ex ज् :

Compute the following limit е (x,y) → (0,1) ex ज् :

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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to the follow Theorem 4 Properties of Continuous Functions Suppose that f: A C R"→R", g: ACR"→ Rm, and let c be a real number. (i) If f is continuous at xo, so is cf, where (cf)(x) = c[f(x)]. (ii) If f and g are continuous at xo, so is f + g, where the sum of f and g is defined by (f+g)(x) = f(x) + g(x). (iii) If f and g are continuous at xo and m = defined by (fg)(x) = f(x)g(x) is continuous at Xo. 1, then the product function fg (iv) If f: AC R" → R is continuous at xo and nowhere zero on A, then the quotient 1/f is continuous at xo, where (1/f)(x) = 1/f(x). (v) If f: ACR" → Rm and f(x) = (fi(x), ..., fm(x)), then f is continuous at xo if and only if each of the real-valued functions fi, ..., fm is continuous at Xo.
Transcribed Image Text:to the follow Theorem 4 Properties of Continuous Functions Suppose that f: A C R"→R", g: ACR"→ Rm, and let c be a real number. (i) If f is continuous at xo, so is cf, where (cf)(x) = c[f(x)]. (ii) If f and g are continuous at xo, so is f + g, where the sum of f and g is defined by (f+g)(x) = f(x) + g(x). (iii) If f and g are continuous at xo and m = defined by (fg)(x) = f(x)g(x) is continuous at Xo. 1, then the product function fg (iv) If f: AC R" → R is continuous at xo and nowhere zero on A, then the quotient 1/f is continuous at xo, where (1/f)(x) = 1/f(x). (v) If f: ACR" → Rm and f(x) = (fi(x), ..., fm(x)), then f is continuous at xo if and only if each of the real-valued functions fi, ..., fm is continuous at Xo.
4.) Compute the following limits: ety = a.) limit (x,y) → (0,1) 9 timil (5,0) e (30)
Transcribed Image Text:4.) Compute the following limits: ety = a.) limit (x,y) → (0,1) 9 timil (5,0) e (30)
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