Question

Find the limit of the function by using direct substitution.

Answer 1

The choices are:
a. 1
b. pi/2
c. 0
d. 5e^pi/2

Answer 2

@iPwnBunnies @ganeshie8

Answer 3

Direct substitution means we can find the limit by plugging in the value of the limit into x. If it's a real number, that will be the limit as x approaches pi/2 of the function.

Answer 4

I'm confused about the e

Answer 5

so am i

Answer 6

@zimmah

Answer 7

well if you use direct substitute you get

\[3e^{\frac{\pi}{2}} \times \cos(\frac{\pi}{2})\]

so it should be easy to solve from here

Answer 8

i mean i didn't undestand the graph of 3e to the pith 0ver2

Answer 9

Yeah I don't know what to do with 3e^pi/2

Answer 10

you don't need to know about

\[3e^{\frac{\pi}{2}}\]

because \[\cos(\frac{\pi}{2}) = 0\]

so in evaluating the limit you have

\[3e^{\frac{\pi}{2}} \times \cos(\frac{\pi}{2}) = 3e^{\frac{\pi}{2}} \times 0 \]

Answer 11

So that means it is 0

Answer 12

correct, i just arrived home so sorry i couldn't reply earlier but campbell is correct.

Answer 13

the e by the way is similar to pi, except pi is approximately 3.1415926... and e is approximately 2.71828...

Answer 14

if only we have the e part how the limit look like ?

Answer 15

well just graph the curve

\[y = 3e^xcos(x)\]

Answer 16

i guess there is an exact value

Answer 17

\[\lim_{x \rightarrow \pi/2} = 3e ^{x}\]

Answer 18

here is your graph

Answer 19

if you want to graph it yourself use

https://www.desmos.com/calculator