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anonymous
 5 years ago
lim as x approaches infinity (1+3/x)^(5x)
anonymous
 5 years ago
lim as x approaches infinity (1+3/x)^(5x)

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.01 becuase as x approach infinity the 3/x goes to zero which just leaves 1^(infinity) and 1 to any power is 1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Okay well it says that the answer is e^15 .. how is that?!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\lim_{x \rightarrow \infty} (1+{3\over x}^{5x})\]is that what it is?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the exponent should be out of the parenthesis

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yes that is right besides the exponent outside of the parenthesis

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0hmmm....definitely looks like 1 to me

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yeah I wasn't sure how they got e^15. I don't understand at all

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the answer is e^15 but i'm not sure how to get there

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0how did yu get there myininaya ?

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.2recall limit x>infinity (1+1/x)^x=e

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Is that something I should know off the top of my head?

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.2i guess lol i just recalled it though like a memory or you know lim x>0 sinx/x=1 or some property like that

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh boy.. i never liked limits anyways.. lol

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0good catch myininaya thats just one of those weird math things

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Okay I remember the sinx/x = 1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So where did the 15 come from

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0from the 3/x instead of 1/x and the power of 5x instead of x

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.2http://answers.yahoo.com/question/index?qid=20110223065841AAHpCSc

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.2they show that lim x> infinity (1+a/x)^x=e^a so if we have lim x> infinity (1+3/x)^x=e^3 and if we have lim x> infinity (1+3/x)^(5x)=lim x>infinity [(1+3/x)^x]^5= (the inside goes to e^3) = e^[3(5)]=e^15

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Okay that makes sense now

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.2catherine you can also see if we plug in really big values for x (1+1/x)^x is getting closer to e

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Which is why it comes to e in the above limits?

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.2yes you do that for any function you can plug values in for whatever x is getting closer to to see where the function is getting closer to as x gets closer to whatever number its approaching
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