Question

Find the limit of the function by using direct substitution.

limit as x approaches quantity pi divided by two of quantity two times e to the x times cosine of x.

Answer 1

\[\large \lim_{x\to \frac{\pi}{2}}2e^x\cos(x)\]

Answer 2

compute via
\[\large 2e^{\frac{\pi}{2}}\cos(\frac{\pi}{2})\]

Answer 3

i hope it is clear that
\[\cos(\frac{\pi}{2})=0\] making your answer zero

Answer 4

thank you so much @satellite73