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

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SUMMARY

The limit of sin((pi*x*y)/4) as (x, y) approaches (-1, 6) is definitively 1. This conclusion is reached by evaluating the expression at the specified point, resulting in sin(-3*pi/2), which equals 1. The discussion confirms the correctness of this evaluation and addresses previous misunderstandings regarding the limit calculation.

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  • Knowledge of limits in multivariable calculus.
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  • Basic algebraic manipulation skills.
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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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