What is the limit as x approaches pi/3 of 7xcos(x) ?

The limit as x approaches pi/3 of 7xcos(x) is (7pi)/6

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limit as x approaches pi/3 of 7xcos(x)

x \to \frac{π}{3} lim (7 x cos (x))

\frac{7 π}{6}

Decimal

3.66519 \dots

Solution steps

x \to \frac{π}{3} lim (7 x cos (x))

Plug in the value

x = \frac{π}{3}

= 7 \cdot \frac{π}{3} cos (\frac{π}{3})

Simplify

7 \cdot \frac{π}{3} cos (\frac{π}{3}) : \frac{7 π}{6}

= \frac{7 π}{6}

What is the limit as x approaches pi/3 of 7xcos(x) ?
The limit as x approaches pi/3 of 7xcos(x) is (7pi)/6