Question

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

Answer 1

do you have a problem pluggin in pi/2?

Answer 2

can you two help me

Answer 3

i just have no idea how to solve this problem

Answer 4

\[\lim_{x \rightarrow \frac{\pi}{2}}2e^x \cos(x)= 2 e^{\frac{\pi}{2}} \cos(\frac{\pi}{2})\]
by direct substitution
we can use direct substitution since the function exists at the thing the x is

approaching

Answer 5

im on the problem below

Answer 6

can you finishing simplifying

Answer 7

thats the part i am having problems with.

Answer 8

so you aren't sure what cos(pi/2)=?

Answer 9

-1/2

Answer 10

how do you get that

Answer 11

you can use the unit circle of the calculator if you want

Answer 12

cos(pi/2) should be zero either way

Answer 13

oh

Answer 14

are you good?

Answer 15

\[\lim_{x \rightarrow \frac{\pi}{2}}2e^x \cos(x)= 2 e^{\frac{\pi}{2}} \cos(\frac{\pi}{2}) \\ =2e^{\frac{\pi}{2}} (0)=?\]