What is the limit as (x,y) approaches (pi,3) of (ycos(2x))/(y+cos(x)) ?

The limit as (x,y) approaches (pi,3) of (ycos(2x))/(y+cos(x)) is 3/2

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limit as (x,y) approaches (pi,3) of (ycos(2x))/(y+cos(x))

(x, y) \to (π, 3) lim (\frac{y cos ( 2 x )}{y + cos ( x )})

\frac{3}{2}

Decimal

1.5

Solution steps

(x, y) \to (π, 3) lim (\frac{y cos ( 2 x )}{y + cos ( x )})

Plug in the value

(x, y) = (π, 3)

= \frac{3 cos ( 2 π )}{3 + cos ( π )}

Simplify

\frac{3 cos ( 2 π )}{3 + cos ( π )} : \frac{3}{2}

= \frac{3}{2}

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What is the limit as (x,y) approaches (pi,3) of (ycos(2x))/(y+cos(x)) ?
The limit as (x,y) approaches (pi,3) of (ycos(2x))/(y+cos(x)) is 3/2