Evaluate the limit if it exists: $$\lim _ { ( x , y ) \rightarrow ( 0.0 ) } ( y + 1 ) ^ { 2 } \cos ( x )$$
A) 2
B) 0
C) 1
D) $\pi$

Name: Evaluate the limit if it exists: \[\lim _ { ( x , y ) \rightarrow ( 0.0 ) } ( y + 1 ) ^ { 2 } \cos ( x )\] A) 2 B) 0 C) 1 D) $\pi$
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Question

Quizplus · Accepted Answer

As $x$ and $y$ approach 0, the expression $(y + 1)^2$ approaches $1^2 = 1$, and $\cos(x)$ approaches $\cos(0) = 1$. Multiplying these results gives $1 \times 1 = 1$.

Evaluate the Limit If It Exists lim⁡(x,y)→(0.0)(y+1)2cos⁡(x)\lim _ { ( x , y ) \rightarrow ( 0.0 ) } ( y + 1 ) ^ { 2 } \cos ( x )(x,y)→(0.0)lim​(y+1)2cos(x)

Evaluate the Limit If It Exists $\lim _ { ( x , y ) \rightarrow ( 0.0 ) } ( y + 1 ) ^ { 2 } \cos ( x )$