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

WILL MEDAL!!

Question

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

anonymous · Answer

@IrishBoy123 Can you help?

anonymous · Answer

$$\lim_{x \rightarrow 2}(3e^xcosx)$$

irishboy123 · Answer

quicky, have you plugged in $x = \pi/2$?

i will latex what i think you are looking at

anonymous · Answer

Yes when plugged in the cos(pi/2) = 0 and e^0 = 1, so would the limit then only be 3? or would I multiply 3 x 0 making the limit 0?

irishboy123 · Answer

$\large lim_{x \rightarrow \ \frac{pi}{2}} \ \ 3e^{x \ cosx}$  ???

irishboy123 · Answer

if so the exponent is $\pi/2 * 0 = 0$

anonymous · Answer

I have the equation written out above, the cos x isn't part of the exponent.

irishboy123 · Answer

oh sorry, will look at yours

anonymous · Answer

$$\lim_{x \rightarrow 2}(3e^2cosx)$$
@IrishBoy123

irishboy123 · Answer

$3 e^{\pi/2} \times 0 = 0$

anonymous · Answer

Oh ok so don't worry about e^pi/2 because the x0 from the cos(pi/2) already makes the entire limit 0?

irishboy123 · Answer

yes

anonymous · Answer

Ok thank you so much! You've been a huge help. (:

irishboy123 · Answer

finally, is this it?!?!

$$\lim_{x \rightarrow \frac{\pi}{2} } \ 3e^x \ \cos x$$

irishboy123 · Answer

just to be clear...because that will be zero