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In Exercises 21-24, evaluate the limit by making the substitu- ion z = x²+y² and observing that z→0+ as (x, y)→ (0, 0). sin(x? + y²) x² + y2 1- cos(x² + y²) lim 22. 21. lim (x.y) (0,0) x2 + y? (x, y)→ (0,0) e-1//x²+y² e-1/(x²+y²) 24. lim 23. lim (x,y)→ (0,0) (x,y)→ (0,0) Vx² + y²

In Exercises 21-24, evaluate the limit by making the substitu- ion z = x²+y² and observing that z→0+ as (x, y)→ (0, 0). sin(x? + y²) x² + y2 1- cos(x² + y²) lim 22. 21. lim (x.y) (0,0) x2 + y? (x, y)→ (0,0) e-1//x²+y² e-1/(x²+y²) 24. lim 23. lim (x,y)→ (0,0) (x,y)→ (0,0) Vx² + y²

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
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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In Exercises 21–24, evaluate the limit by making the substitu- x2+y? and observing that z →0* as (x, y)→ (0, 0). tion z %3D sin(x² + y²) 21. lim (x.y)→ (0,0) x2 + y2 1 - cos(x² + y²) x2 + y2 22. lim (x, y)→ (0,0) 23. lim e-1/(x²+y²) (x.y) (0,0) e-1//x²+y² 24. lim (x,y)→ (0,0) Vx2+y2
Transcribed Image Text:In Exercises 21–24, evaluate the limit by making the substitu- x2+y? and observing that z →0* as (x, y)→ (0, 0). tion z %3D sin(x² + y²) 21. lim (x.y)→ (0,0) x2 + y2 1 - cos(x² + y²) x2 + y2 22. lim (x, y)→ (0,0) 23. lim e-1/(x²+y²) (x.y) (0,0) e-1//x²+y² 24. lim (x,y)→ (0,0) Vx2+y2
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