What is the limit as x approaches pi/x of xcos(x) ?

The limit as x approaches pi/x of xcos(x) is (picos(pi/x))/x

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limit as x approaches pi/x of xcos(x)

x \to \frac{π}{x} lim (x cos (x))

\frac{π cos ( \frac{π}{x} )}{x}

Solution steps

x \to \frac{π}{x} lim (x cos (x))

Plug in the value

x = \frac{π}{x}

= \frac{π}{x} cos (\frac{π}{x})

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{π cos ( \frac{π}{x} )}{x}

y = \frac{5 x}{x + 2} (3.3)

\frac{d y}{d x} = - \frac{x + 6}{7 y ^{2}}

x \to - \frac{π}{3} lim (sec (x))

\frac{\partial}{\partial x} (- arctan (\frac{y}{x}))

What is the limit as x approaches pi/x of xcos(x) ?
The limit as x approaches pi/x of xcos(x) is (picos(pi/x))/x