Limit of sin((pi*x*y)/4) at (x,y)--->(-1, 6): 1

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Homework Help Overview

The discussion revolves around finding the limit of the function sin((pi*x*y)/4) as the point (x, y) approaches (-1, 6). The subject area pertains to limits in multivariable calculus.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants express their attempts to evaluate the limit, with one stating they arrived at a value of 1. Another participant requests clarification on how that value was obtained, indicating a desire for a detailed explanation of the reasoning involved.

Discussion Status

The discussion includes multiple participants sharing their evaluations and seeking further clarification. There is acknowledgment of a correct evaluation regarding the sine function, but no consensus on the limit itself has been reached.

Contextual Notes

Some participants reference previous threads and discussions, suggesting a broader context of ongoing homework assistance and engagement in related topics.

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Homework Statement


Find the limit of sin((pi*x*y)/4) as (x, y)--->(-1, 6).

Homework Equations


None.

The Attempt at a Solution


I got 1 as the answer. Am I right?
 
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Math10 said:

Homework Statement


Find the limit of sin((pi*x*y)/4) as (x, y)--->(-1, 6).

Homework Equations


None.

The Attempt at a Solution


I got 1 as the answer. Am I right?
How did you get 1? Please show your work.
 
sin(-3*pi/2)=1, am I right?
 
Math10 said:
sin(-3*pi/2)=1, am I right?
Yes, this is correct. My earlier response, which is now deleted, was incorrect. Sorry to have misled you.
 

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