Evaluate $\lim _ { ( x , y ) \rightarrow ( 0,0 ) } x \sin y$
A)0
B)1
C)2
D)3
E)4
F)5
G)6
H)Does not exist

Name: Evaluate $\lim _ { ( x , y ) \rightarrow ( 0,0 ) } x \sin y$ A)0 B)1 C)2 D)3 E)4 F)5 G)6 H)Does not exist
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Question

Evaluate $\lim _ { ( x , y ) \rightarrow ( 0,0 ) } x \sin y$ 
A)0
B)1
C)2
D)3
E)4
F)5
G)6
H)Does not exist

Quizplus · Accepted Answer

The limit of $x \sin y$ as $(x, y) \rightarrow (0,0)$ is 0 because both $x$ and $\sin y$ approach 0 as $x \rightarrow 0$ and $y \rightarrow 0$, respectively.

Evaluate lim⁡(x,y)→(0,0)xsin⁡y\lim _ { ( x , y ) \rightarrow ( 0,0 ) } x \sin ylim(x,y)→(0,0)​xsiny

Evaluate $\lim _ { ( x , y ) \rightarrow ( 0,0 ) } x \sin y$