Use the method of your choice to evaluate the following limits. lim_{(x,y)rightarrow(1,0)}frac{sin xy}{xy}

he298c 2021-02-09 Answered
Use the method of your choice to evaluate the following limits.
lim(x,y)(1,0)sinxyxy
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sovienesY
Answered 2021-02-10 Author has 89 answers

Given: lim(x,y)(1,0)sinxyxy
for finding this limit we first substitute x=1, then use limit of y
so,
lim(x,y)(1,0)sinxyxy=limy0sin(1)y(1)y
=limy0sinyy
=1
hence, given limit is equal to 1.

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Jeffrey Jordon
Answered 2022-04-01 Author has 2064 answers

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