Which of the following expressions are true?1. lim(z,v)(0,0) 7+y3z'y= 0II. lim(z,1) (0,0) 7, (1, y) # (0,0), (1, y) = (0,0)I. f(z, y) =is not continuous at (0,0).+y²O a. IO b. IIO c I, IIO d. I, IIO e. I, II, IISonraki sa

Let us consider, y = mx Then we get, Limit (x, y) tends to (0, 0), [(3x2y)/(x2 + y2)] = 0 Thus the…

Answered: Which of the following 1. lim(z,v)…

Math

Calculus

Which of the following 1. lim(z,v) (0,0) 7+

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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Concept explainers

Limits of Multivariable Functions

Multivariable calculus is an extension of single variable calculus. It involves several variables instead of just one. Assume there is an open set containing points (x0, y0), let f be a function defined in that open interval except for the points (x0, y0). The multivariable limit of this function as it approaches the points (x0, y0) and is denoted as:

Question

Which of the following expressions are true?
1. lim(z,v)(0,0) 7+y
3z'y
= 0
II. lim(z,1) (0,0) 7
, (1, y) # (0,0)
, (1, y) = (0,0)
I. f(z, y) =
is not continuous at (0,0).
+y²
O a. I
O b. II
O c I, II
O d. I, II
O e. I, II, II
Sonraki sa

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