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Evaluate the following limit. lim (x,y) → (0,л) tan xy + cos xy 2y Select the correct answer below and, if necessary, fill in the answer box to complete your choice. O A. tan xy + cos xy 2y lim (x,y)→(0,л) (Type an exact answer, using as needed.) B. The limit does not exist.

Evaluate the following limit. lim (x,y) → (0,л) tan xy + cos xy 2y Select the correct answer below and, if necessary, fill in the answer box to complete your choice. O A. tan xy + cos xy 2y lim (x,y)→(0,л) (Type an exact answer, using as needed.) B. The limit does not exist.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Evaluate the following limit.** \[ \lim_{{(x,y) \to (0,\pi)}} \frac{{\tan xy + \cos xy}}{2y} \] --- Select the correct answer below and, if necessary, fill in the answer box to complete your choice. - **A.** \(\lim_{{(x,y) \to (0,\pi)}} \frac{{\tan xy + \cos xy}}{2y} = \) [Answer Box] \\ (Type an exact answer, using \(\pi\) as needed.) - **B.** The limit does not exist.
Transcribed Image Text:**Evaluate the following limit.** \[ \lim_{{(x,y) \to (0,\pi)}} \frac{{\tan xy + \cos xy}}{2y} \] --- Select the correct answer below and, if necessary, fill in the answer box to complete your choice. - **A.** \(\lim_{{(x,y) \to (0,\pi)}} \frac{{\tan xy + \cos xy}}{2y} = \) [Answer Box] \\ (Type an exact answer, using \(\pi\) as needed.) - **B.** The limit does not exist.
Expert Solution
Step 1: The given limit :

Given that limit as left parenthesis x comma y right parenthesis rightwards arrow left parenthesis 0 comma straight pi right parenthesis of fraction numerator tan x y plus cos x y over denominator 2 y end fraction.

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