What is the limit as x approaches pi/2 of 2xcos(x) ?

The limit as x approaches pi/2 of 2xcos(x) is 0

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limit as x approaches pi/2 of 2xcos(x)

x \to \frac{π}{2} lim (2 x cos (x))

0

Solution steps

x \to \frac{π}{2} lim (2 x cos (x))

Plug in the value

x = \frac{π}{2}

= 2 \cdot \frac{π}{2} cos (\frac{π}{2})

Simplify

2 \cdot \frac{π}{2} cos (\frac{π}{2}) : 0

= 0

x \to 0 + lim (\frac{ln ( x )}{e ^{x}})

x \to 2 lim (\frac{x}{6 - 3 x})

x \to 0 + lim (x^{0.0001} ln (x))

x \to 1 - lim (e^{\frac{1}{x ^{2} - 1}})

x \to 0 lim ((e^{x} + x)^{\frac{3}{x}})

What is the limit as x approaches pi/2 of 2xcos(x) ?
The limit as x approaches pi/2 of 2xcos(x) is 0