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

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

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

x \to \frac{π}{2} lim (2 e^{x} cos (x))

0

Solution steps

x \to \frac{π}{2} lim (2 e^{x} cos (x))

Plug in the value

x = \frac{π}{2}

= 2 e^{\frac{π}{2}} cos (\frac{π}{2})

Simplify

2 e^{\frac{π}{2}} cos (\frac{π}{2}) : 0

= 0

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