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Mathematics 21 Online
OpenStudy (lovelyharmonics):

evaluating limits

OpenStudy (lovelyharmonics):

ganeshie8 (ganeshie8):

simply plugin \(x = \dfrac{\pi}{2}\)

ganeshie8 (ganeshie8):

and evaluate

ganeshie8 (ganeshie8):

\[\lim \limits_{x\to \frac{\pi}{2}} (2e^x\sin(x)) = 2e^{\frac{\pi}{2}}\sin(\frac{\pi}{2}) = ?\]

OpenStudy (lovelyharmonics):

why pi/2? cant it be something easy like 1? cuz the problem you just wrote is even more complicated than what it started with .-.

OpenStudy (lovelyharmonics):

@ganeshie8

ganeshie8 (ganeshie8):

:/

ganeshie8 (ganeshie8):

\[\lim \limits_{x\to \frac{\pi}{2}} (2e^x\sin(x)) = 2e^{\frac{\pi}{2}}\sin(\frac{\pi}{2}) = 2e^{\frac{\pi}{2}} *1 = 2e^{\frac{\pi}{2}}\]

ganeshie8 (ganeshie8):

we're done.

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