Get the solution to "Evaluate the following limits. lim(x,y)→(0,π)cos⁡xy+sin⁡xy2y"

FizeauV

Answered question

2021-02-25

Evaluate the following limits.

lim_{(x, y) \to (0, π)} \frac{\cos x y + \sin x y}{2 y}

Asma Vang

Skilled2021-02-26Added 93 answers

Given,

lim_{(x, y) \to (0, π)} \frac{\cos x y + \sin x y}{2 y}

By applying the limit, we get

lim_{(x, y) \to (0, π)} \frac{\cos x y + \sin x y}{2 y} = \frac{\cos (0 \cdot π) + \sin (0 \cdot π)}{2 π}

= \frac{\cos (0) + \sin (0)}{2 π}

= \frac{1 + 0}{2 π}

= \frac{1}{2 π}

Jeffrey Jordon

Expert2022-04-01Added 2605 answers

Answer is given below (on video)

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