Find the limit of the function by using direct substitution. lim(2e^x cos x) x-> pi/2

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Find the limit of the function by using direct substitution. lim(2e^x cos x) x-> pi/2

Mathematics
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do you have a problem pluggin in pi/2?
can you two help me
i just have no idea how to solve this problem

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\[\lim_{x \rightarrow \frac{\pi}{2}}2e^x \cos(x)= 2 e^{\frac{\pi}{2}} \cos(\frac{\pi}{2})\] by direct substitution we can use direct substitution since the function exists at the thing the x is approaching
im on the problem below
can you finishing simplifying
thats the part i am having problems with.
so you aren't sure what cos(pi/2)=?
-1/2
how do you get that
you can use the unit circle of the calculator if you want
cos(pi/2) should be zero either way
oh
are you good?
\[\lim_{x \rightarrow \frac{\pi}{2}}2e^x \cos(x)= 2 e^{\frac{\pi}{2}} \cos(\frac{\pi}{2}) \\ =2e^{\frac{\pi}{2}} (0)=?\]

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