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

1. anonymous

@IrishBoy123 Can you help?

2. anonymous

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

3. IrishBoy123

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

4. anonymous

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?

5. IrishBoy123

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

6. IrishBoy123

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

7. anonymous

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

8. IrishBoy123

oh sorry, will look at yours

9. anonymous

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

10. IrishBoy123

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

11. anonymous

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

12. IrishBoy123

yes

13. anonymous

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

14. IrishBoy123

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

15. IrishBoy123

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