   Chapter 14.2, Problem 19E

Chapter
Section
Textbook Problem

Find the limit if it exists, or show that the limit does not exist.19. lim ( x , y , z ) → ( π , 0 , 1 / 3 ) e y 2 tan ( x z )

To determine

To find: The limit of the function lim(x,y,z)(π,0,13)ey2tan(xz) if exist; otherwise show that the limit does not exist.

Explanation

Notice that the functions y2 and xy are polynomial functions.

Since every polynomial function is continuous, the functions ey2 and xz are continuous.

Hence the given composition function ey2tan(xz) is continuous as tan(xz) is continuous for xzπ2+nπ .

As the given function is continuous, substitute x=π , y = 0 and z=13 directly in the given function and obtain the required limit

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Convert the expressions in Exercises 6584 to power form. 25x3

Finite Mathematics and Applied Calculus (MindTap Course List)

Sometime, Always, or Never:

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Simplify each expression. (1681)3/4

College Algebra (MindTap Course List) 