What is the limit as x approaches pi/3 of xcos(x) ?

The limit as x approaches pi/3 of xcos(x) is pi/6

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limit as x approaches pi/3 of xcos(x)

x \to \frac{π}{3} lim (x cos (x))

\frac{π}{6}

Decimal Notation

0.52359 \dots

Solution steps

x \to \frac{π}{3} lim (x cos (x))

Plug in the value

x = \frac{π}{3}

= \frac{π}{3} cos (\frac{π}{3})

Simplify

\frac{π}{3} cos (\frac{π}{3}) : \frac{π}{6}

= \frac{π}{6}

y^{^{'}} + 2 y = e^{2 x}

x \to 0 + lim (lo g_{3} (x))

\int (10 x^{4} - 2 sec^{2} (x)) d x

(1 + x)^{- 2}

n \to \infty lim (\frac{2 n ^{5} - 3 n ^{4} + 8}{3 n ^{5} + 1})

What is the limit as x approaches pi/3 of xcos(x) ?
The limit as x approaches pi/3 of xcos(x) is pi/6