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

he298c

he298c

Answered question

2021-02-09

Use the method of your choice to evaluate the following limits.
lim(x,y)(1,0)sinxyxy

Answer & Explanation

sovienesY

sovienesY

Skilled2021-02-10Added 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.

Jeffrey Jordon

Jeffrey Jordon

Expert2022-04-01Added 2605 answers

Answer is given below (on video)

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