Chapter 1. calc_tutorial_14_2_028

1.1 Problem Statement

{6,7,8,9}
{2,3,4,5}
pow($x1,2)
pow($y1,2)
$r-$s

Evaluate the limit or determine that it does not exist.

1.2 Step 1

Question Sequence

Question 1.1

Consider . Then can be written as a composition of functions where and

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

Since g and h 5aTV5koFyu9/BcVRZ6h9dg== both continuous, and a composition of continuous functions bfdtn5PFpMarVC8x2zfiEQ== continuous, we have that f(x, y) bfdtn5PFpMarVC8x2zfiEQ== continuous.

Correct.
Incorrect.

1.3 Step 2

Question Sequence

Question 1.2

Since f(x, y) is continuous, the limit can be evaluated by substitution. Evaluate the limit.

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
Incorrect. Do you see where you went wrong?
Excellent work.